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Finding the Third Proportional to 87,404 and 133,654

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Solution

The third proportional to 87,404 and 133,654 is: 204,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,404 : 133,654 = 133,654 : x
  2. Step 2: Convert to fraction form
    87,404/133,654 = 133,654/x
  3. Step 3: Cross multiply
    87,404x = 133,654 × 133,654
  4. Step 4: Simplify right side
    87,404x = 17,863,391,716
  5. Step 5: Solve for x
    x = 17,863,391,716/87,404
  6. Step 6: Final answer
    x = 204,377.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.