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Finding the Third Proportional to 83,414 and 125,841

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Solution

The third proportional to 83,414 and 125,841 is: 189,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,414 : 125,841 = 125,841 : x
  2. Step 2: Convert to fraction form
    83,414/125,841 = 125,841/x
  3. Step 3: Cross multiply
    83,414x = 125,841 × 125,841
  4. Step 4: Simplify right side
    83,414x = 15,835,957,281
  5. Step 5: Solve for x
    x = 15,835,957,281/83,414
  6. Step 6: Final answer
    x = 189,847.71

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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.