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Finding the Third Proportional to 87,374 and 130,713

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Solution

The third proportional to 87,374 and 130,713 is: 195,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,374 : 130,713 = 130,713 : x
  2. Step 2: Convert to fraction form
    87,374/130,713 = 130,713/x
  3. Step 3: Cross multiply
    87,374x = 130,713 × 130,713
  4. Step 4: Simplify right side
    87,374x = 17,085,888,369
  5. Step 5: Solve for x
    x = 17,085,888,369/87,374
  6. Step 6: Final answer
    x = 195,548.89

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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.