Finding the Third Proportional to 71,976 and 112,656
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Solution
The third proportional to 71,976 and 112,656 is: 176,327.86
Step by Step Solution
- Step 1: Write the proportion equation
71,976 : 112,656 = 112,656 : x - Step 2: Convert to fraction form
71,976/112,656 = 112,656/x - Step 3: Cross multiply
71,976x = 112,656 × 112,656 - Step 4: Simplify right side
71,976x = 12,691,374,336 - Step 5: Solve for x
x = 12,691,374,336/71,976 - Step 6: Final answer
x = 176,327.86
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.