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Finding the Third Proportional to 83,486 and 125,949

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Solution

The third proportional to 83,486 and 125,949 is: 190,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486 : 125,949 = 125,949 : x
  2. Step 2: Convert to fraction form
    83,486/125,949 = 125,949/x
  3. Step 3: Cross multiply
    83,486x = 125,949 × 125,949
  4. Step 4: Simplify right side
    83,486x = 15,863,150,601
  5. Step 5: Solve for x
    x = 15,863,150,601/83,486
  6. Step 6: Final answer
    x = 190,009.71

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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.