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Finding the Third Proportional to 83,158 and 126,812

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Solution

The third proportional to 83,158 and 126,812 is: 193,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158 : 126,812 = 126,812 : x
  2. Step 2: Convert to fraction form
    83,158/126,812 = 126,812/x
  3. Step 3: Cross multiply
    83,158x = 126,812 × 126,812
  4. Step 4: Simplify right side
    83,158x = 16,081,283,344
  5. Step 5: Solve for x
    x = 16,081,283,344/83,158
  6. Step 6: Final answer
    x = 193,382.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.