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Finding the Third Proportional to 83,857 and 124,644

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Solution

The third proportional to 83,857 and 124,644 is: 185,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,857 : 124,644 = 124,644 : x
  2. Step 2: Convert to fraction form
    83,857/124,644 = 124,644/x
  3. Step 3: Cross multiply
    83,857x = 124,644 × 124,644
  4. Step 4: Simplify right side
    83,857x = 15,536,126,736
  5. Step 5: Solve for x
    x = 15,536,126,736/83,857
  6. Step 6: Final answer
    x = 185,269.29

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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.