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Finding the Third Proportional to 83,386 and 124,850

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Solution

The third proportional to 83,386 and 124,850 is: 186,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,386 : 124,850 = 124,850 : x
  2. Step 2: Convert to fraction form
    83,386/124,850 = 124,850/x
  3. Step 3: Cross multiply
    83,386x = 124,850 × 124,850
  4. Step 4: Simplify right side
    83,386x = 15,587,522,500
  5. Step 5: Solve for x
    x = 15,587,522,500/83,386
  6. Step 6: Final answer
    x = 186,932.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.