Finding the Third Proportional to 72,696 and 109,408
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Solution
The third proportional to 72,696 and 109,408 is: 164,659.82
Step by Step Solution
- Step 1: Write the proportion equation
72,696 : 109,408 = 109,408 : x - Step 2: Convert to fraction form
72,696/109,408 = 109,408/x - Step 3: Cross multiply
72,696x = 109,408 × 109,408 - Step 4: Simplify right side
72,696x = 11,970,110,464 - Step 5: Solve for x
x = 11,970,110,464/72,696 - Step 6: Final answer
x = 164,659.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.