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Finding the Third Proportional to 87,524 and 135,782

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Solution

The third proportional to 87,524 and 135,782 is: 210,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524 : 135,782 = 135,782 : x
  2. Step 2: Convert to fraction form
    87,524/135,782 = 135,782/x
  3. Step 3: Cross multiply
    87,524x = 135,782 × 135,782
  4. Step 4: Simplify right side
    87,524x = 18,436,751,524
  5. Step 5: Solve for x
    x = 18,436,751,524/87,524
  6. Step 6: Final answer
    x = 210,647.95

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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.