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Finding the Third Proportional to 87,250 and 138,384

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Solution

The third proportional to 87,250 and 138,384 is: 219,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,250 : 138,384 = 138,384 : x
  2. Step 2: Convert to fraction form
    87,250/138,384 = 138,384/x
  3. Step 3: Cross multiply
    87,250x = 138,384 × 138,384
  4. Step 4: Simplify right side
    87,250x = 19,150,131,456
  5. Step 5: Solve for x
    x = 19,150,131,456/87,250
  6. Step 6: Final answer
    x = 219,485.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.