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Finding the Third Proportional to 127,892 and 200,626

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Solution

The third proportional to 127,892 and 200,626 is: 314,724.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,892 : 200,626 = 200,626 : x
  2. Step 2: Convert to fraction form
    127,892/200,626 = 200,626/x
  3. Step 3: Cross multiply
    127,892x = 200,626 × 200,626
  4. Step 4: Simplify right side
    127,892x = 40,250,791,876
  5. Step 5: Solve for x
    x = 40,250,791,876/127,892
  6. Step 6: Final answer
    x = 314,724.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.