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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

  1. Step 1: Write the proportion equation
    81,897 : 172,542 = 172,542 : x
  2. Step 2: Convert to fraction form
    81,897/172,542 = 172,542/x
  3. Step 3: Cross multiply
    81,897x = 172,542 × 172,542
  4. Step 4: Simplify right side
    81,897x = 29,770,741,764
  5. Step 5: Solve for x
    x = 29,770,741,764/81,897
  6. Step 6: Final answer
    x = 363,514.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.