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Finding the Third Proportional to 87,670 and 125,359

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Solution

The third proportional to 87,670 and 125,359 is: 179,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670 : 125,359 = 125,359 : x
  2. Step 2: Convert to fraction form
    87,670/125,359 = 125,359/x
  3. Step 3: Cross multiply
    87,670x = 125,359 × 125,359
  4. Step 4: Simplify right side
    87,670x = 15,714,878,881
  5. Step 5: Solve for x
    x = 15,714,878,881/87,670
  6. Step 6: Final answer
    x = 179,250.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.