Seventh-seeded Missouri (16-8) will play eighth-ranked Arkansas on Friday night.
The Tigers led 62-50 and nearly blew that lead after failing to make a field goal after Jeremiah Tilmon’s layup with 6:24 remaining. They missed their final six shots but made all nine free throws within the final five minutes.
Xavier Pinson added 17, Kobe Brown had 16 points for Missouri and Tilmon finished with 10.
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No. 10 seed Georgia (14-12) lost its third straight. The Bulldogs trailed 69-67 with 19.8 seconds remaining when Toumani Camara went to the free throw line and missed both attempts.
Smith hit his free throws, then Pinson added two more for the final margin.
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