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Finding the Third Proportional to 83,780 and 125,850

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Solution

The third proportional to 83,780 and 125,850 is: 189,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780 : 125,850 = 125,850 : x
  2. Step 2: Convert to fraction form
    83,780/125,850 = 125,850/x
  3. Step 3: Cross multiply
    83,780x = 125,850 × 125,850
  4. Step 4: Simplify right side
    83,780x = 15,838,222,500
  5. Step 5: Solve for x
    x = 15,838,222,500/83,780
  6. Step 6: Final answer
    x = 189,045.39

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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.