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Finding the Third Proportional to 87,486 and 135,725

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Solution

The third proportional to 87,486 and 135,725 is: 210,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,486 : 135,725 = 135,725 : x
  2. Step 2: Convert to fraction form
    87,486/135,725 = 135,725/x
  3. Step 3: Cross multiply
    87,486x = 135,725 × 135,725
  4. Step 4: Simplify right side
    87,486x = 18,421,275,625
  5. Step 5: Solve for x
    x = 18,421,275,625/87,486
  6. Step 6: Final answer
    x = 210,562.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.