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Finding the Third Proportional to 87,481 and 178,652

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Solution

The third proportional to 87,481 and 178,652 is: 364,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,481 : 178,652 = 178,652 : x
  2. Step 2: Convert to fraction form
    87,481/178,652 = 178,652/x
  3. Step 3: Cross multiply
    87,481x = 178,652 × 178,652
  4. Step 4: Simplify right side
    87,481x = 31,916,537,104
  5. Step 5: Solve for x
    x = 31,916,537,104/87,481
  6. Step 6: Final answer
    x = 364,839.65

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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.