Finding the Third Proportional to 100,957.50 and 141,561
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Solution
The third proportional to 100,957.50 and 141,561 is: 198,494.58
Step by Step Solution
- Step 1: Write the proportion equation
100,957.50 : 141,561 = 141,561 : x - Step 2: Convert to fraction form
100,957.50/141,561 = 141,561/x - Step 3: Cross multiply
100,957.50x = 141,561 × 141,561 - Step 4: Simplify right side
100,957.50x = 20,039,516,721 - Step 5: Solve for x
x = 20,039,516,721/100,957.50 - Step 6: Final answer
x = 198,494.58
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.