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Finding the Third Proportional to 83,244 and 124,374

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Solution

The third proportional to 83,244 and 124,374 is: 185,825.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 124,374 = 124,374 : x
  2. Step 2: Convert to fraction form
    83,244/124,374 = 124,374/x
  3. Step 3: Cross multiply
    83,244x = 124,374 × 124,374
  4. Step 4: Simplify right side
    83,244x = 15,468,891,876
  5. Step 5: Solve for x
    x = 15,468,891,876/83,244
  6. Step 6: Final answer
    x = 185,825.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.