Finding the Third Proportional to 71,397 and 103,761
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Solution
The third proportional to 71,397 and 103,761 is: 150,795.48
Step by Step Solution
- Step 1: Write the proportion equation
71,397 : 103,761 = 103,761 : x - Step 2: Convert to fraction form
71,397/103,761 = 103,761/x - Step 3: Cross multiply
71,397x = 103,761 × 103,761 - Step 4: Simplify right side
71,397x = 10,766,345,121 - Step 5: Solve for x
x = 10,766,345,121/71,397 - Step 6: Final answer
x = 150,795.48
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.