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Finding the Third Proportional to 83,442 and 125,871

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Solution

The third proportional to 83,442 and 125,871 is: 189,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,442 : 125,871 = 125,871 : x
  2. Step 2: Convert to fraction form
    83,442/125,871 = 125,871/x
  3. Step 3: Cross multiply
    83,442x = 125,871 × 125,871
  4. Step 4: Simplify right side
    83,442x = 15,843,508,641
  5. Step 5: Solve for x
    x = 15,843,508,641/83,442
  6. Step 6: Final answer
    x = 189,874.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.