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Finding the Third Proportional to 87,374 and 130,924

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Solution

The third proportional to 87,374 and 130,924 is: 196,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,374 : 130,924 = 130,924 : x
  2. Step 2: Convert to fraction form
    87,374/130,924 = 130,924/x
  3. Step 3: Cross multiply
    87,374x = 130,924 × 130,924
  4. Step 4: Simplify right side
    87,374x = 17,141,093,776
  5. Step 5: Solve for x
    x = 17,141,093,776/87,374
  6. Step 6: Final answer
    x = 196,180.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.