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Finding the Third Proportional to 87,527 and 178,267

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Solution

The third proportional to 87,527 and 178,267 is: 363,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527 : 178,267 = 178,267 : x
  2. Step 2: Convert to fraction form
    87,527/178,267 = 178,267/x
  3. Step 3: Cross multiply
    87,527x = 178,267 × 178,267
  4. Step 4: Simplify right side
    87,527x = 31,779,123,289
  5. Step 5: Solve for x
    x = 31,779,123,289/87,527
  6. Step 6: Final answer
    x = 363,077.94

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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.