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Finding the Third Proportional to 84,662 and 124,374

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Solution

The third proportional to 84,662 and 124,374 is: 182,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,662 : 124,374 = 124,374 : x
  2. Step 2: Convert to fraction form
    84,662/124,374 = 124,374/x
  3. Step 3: Cross multiply
    84,662x = 124,374 × 124,374
  4. Step 4: Simplify right side
    84,662x = 15,468,891,876
  5. Step 5: Solve for x
    x = 15,468,891,876/84,662
  6. Step 6: Final answer
    x = 182,713.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.