Steven Gerrard's side drew 0-0 with Maribor in Slovenia to secure a 3-1 aggregate win, with Allan McGregor saving a last-minute penalty.
Rangers now face Russian side FC Ufa, with the first leg at Ibrox on Thursday August 23 and the return match the following week.
Hibernian's hopes of progressing were ended by a 3-0 defeat to Molde in Norway.
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