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Finding the Third Proportional to 52,439 and 113,626

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Solution

The third proportional to 52,439 and 113,626 is: 246,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,439 : 113,626 = 113,626 : x
  2. Step 2: Convert to fraction form
    52,439/113,626 = 113,626/x
  3. Step 3: Cross multiply
    52,439x = 113,626 × 113,626
  4. Step 4: Simplify right side
    52,439x = 12,910,867,876
  5. Step 5: Solve for x
    x = 12,910,867,876/52,439
  6. Step 6: Final answer
    x = 246,207.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.