ST. PETERSBURG, Fla. — The Milwaukee Brewers are one win from the franchise’s first World Series championship after an eight-run fifth inning powered a 10-1 rout of the Tampa Bay Rays on Monday night at Tropicana Field. Milwaukee leads the best-of-seven series 3-0. Game 4 is scheduled for Tuesday night in St. Petersburg, where the Brewers can finish a postseason run that has included an eight-game winning streak and a sweep of the Los Angeles Dodgers in the National League Championship Series. The fifth-inning rally began with two outs and produced a World Series-record eight two-out runs. Brice Turang’s two-run single opened the scoring surge, followed by RBI hits from Garrett Mitchell and Sal Frelick, a two-run double by Cooper Pratt, and a run-scoring double from Jackson Chourio. David Hamilton also singled in a run during the inning. Milwaukee strung together seven consecutive hits with two outs, a postseason record. A replay review overturned what appeared to be the inning’s final out, keeping the rally alive. Tampa Bay starter Freddy Peralta, facing his former team, was charged with five runs and seven hits in 4 2/3 innings. Chourio finished 4 for 5 with a double and a stolen base. At 22, he became the second-youngest player to record four hits and a stolen base in a World Series game, behind Ty Cobb in 1908. Turang and William Contreras each had three hits as Milwaukee collected 16 overall. Rookie left-hander Robert Gasser held Tampa Bay to one hit through six innings. After allowing a first-inning single to Yandy Díaz, Gasser retired 14 straight batters before a walk to Victor Mesa Jr. opened the sixth. A caught stealing and double play helped him face the minimum 18 batters through six, a World Series feat last accomplished by a starter in 2001. Gasser has allowed one run across 15 innings in three postseason starts, all on the road. “Normally it’s 35,000 against nine, but tonight we had 20,000 people behind us,” he said of the Brewers supporters in the stands. Milwaukee added two runs in the ninth, when Brandon Woodruff made his first appearance in 3 1/2 months after a shoulder injury. He gave up one run and two hits. Chourio said he approached each at-bat as if it could be his last, looking for any way to reach base. The Brewers entered the postseason with a major-league-best 103 regular-season wins. The Rays had the American League’s top record at 98 wins and reached the World Series after sweeping the Yankees in the Division Series and defeating Cleveland in six games in the AL Championship Series. Tampa Bay now faces a steep historical climb: only one of 43 major-league teams to fall behind 3-0 in a best-of-seven postseason series has come back to win, the 2004 Boston Red Sox. Rays manager Kevin Cash said the team’s only option was to win Tuesday. Griffin Jax is scheduled to start for Tampa Bay; Milwaukee had not announced its starter. The Brewers’ only previous World Series appearance came in 1982, when they lost Game 7 to St. Louis. The Rays, in their 29th season, are also seeking their first championship after losing the 2008 and 2020 World Series.