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Finding the Third Proportional to 87,673 and 125,363

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Solution

The third proportional to 87,673 and 125,363 is: 179,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,673 : 125,363 = 125,363 : x
  2. Step 2: Convert to fraction form
    87,673/125,363 = 125,363/x
  3. Step 3: Cross multiply
    87,673x = 125,363 × 125,363
  4. Step 4: Simplify right side
    87,673x = 15,715,881,769
  5. Step 5: Solve for x
    x = 15,715,881,769/87,673
  6. Step 6: Final answer
    x = 179,255.66

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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.