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Finding the Third Proportional to 87,204 and 178,110

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Solution

The third proportional to 87,204 and 178,110 is: 363,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204 : 178,110 = 178,110 : x
  2. Step 2: Convert to fraction form
    87,204/178,110 = 178,110/x
  3. Step 3: Cross multiply
    87,204x = 178,110 × 178,110
  4. Step 4: Simplify right side
    87,204x = 31,723,172,100
  5. Step 5: Solve for x
    x = 31,723,172,100/87,204
  6. Step 6: Final answer
    x = 363,781.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.