Finding the Third Proportional to 81,897 and 172,542
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Solution
The third proportional to 81,897 and 172,542 is: 363,514.44
Step by Step Solution
- Step 1: Write the proportion equation
81,897 : 172,542 = 172,542 : x - Step 2: Convert to fraction form
81,897/172,542 = 172,542/x - Step 3: Cross multiply
81,897x = 172,542 × 172,542 - Step 4: Simplify right side
81,897x = 29,770,741,764 - Step 5: Solve for x
x = 29,770,741,764/81,897 - Step 6: Final answer
x = 363,514.44
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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.