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Finding the Third Proportional to 87,581 and 133,941

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Solution

The third proportional to 87,581 and 133,941 is: 204,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,581 : 133,941 = 133,941 : x
  2. Step 2: Convert to fraction form
    87,581/133,941 = 133,941/x
  3. Step 3: Cross multiply
    87,581x = 133,941 × 133,941
  4. Step 4: Simplify right side
    87,581x = 17,940,191,481
  5. Step 5: Solve for x
    x = 17,940,191,481/87,581
  6. Step 6: Final answer
    x = 204,841.14

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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.