Exhaustion rhymes with:
faustian, bastion, christian, combustion, congestion, digestion, faustian, indigestion, ingestion, mcchristian, question, sebastian, suggestion
Exhaustion sounds like:
eastham, eastin, eastman, easton, echidna, eckstein, ecosystem, ecton, eighteen, ejection, equation, equitation, estan, esteem, estonia, estonian, exaction, excitation, execution, executone, exton, eyestone