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Finding the Third Proportional to 87,872 and 207,234

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Solution

The third proportional to 87,872 and 207,234 is: 488,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,872 : 207,234 = 207,234 : x
  2. Step 2: Convert to fraction form
    87,872/207,234 = 207,234/x
  3. Step 3: Cross multiply
    87,872x = 207,234 × 207,234
  4. Step 4: Simplify right side
    87,872x = 42,945,930,756
  5. Step 5: Solve for x
    x = 42,945,930,756/87,872
  6. Step 6: Final answer
    x = 488,732.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.