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Finding the Third Proportional to 87,250 and 131,532

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Solution

The third proportional to 87,250 and 131,532 is: 198,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,250 : 131,532 = 131,532 : x
  2. Step 2: Convert to fraction form
    87,250/131,532 = 131,532/x
  3. Step 3: Cross multiply
    87,250x = 131,532 × 131,532
  4. Step 4: Simplify right side
    87,250x = 17,300,667,024
  5. Step 5: Solve for x
    x = 17,300,667,024/87,250
  6. Step 6: Final answer
    x = 198,288.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.