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Finding the Third Proportional to 87,282 and 133,459.50

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Solution

The third proportional to 87,282 and 133,459.50 is: 204,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,282 : 133,459.50 = 133,459.50 : x
  2. Step 2: Convert to fraction form
    87,282/133,459.50 = 133,459.50/x
  3. Step 3: Cross multiply
    87,282x = 133,459.50 × 133,459.50
  4. Step 4: Simplify right side
    87,282x = 17,811,438,140.25
  5. Step 5: Solve for x
    x = 17,811,438,140.25/87,282
  6. Step 6: Final answer
    x = 204,067.71

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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.