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Finding the Third Proportional to 52,690 and 125,941

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Solution

The third proportional to 52,690 and 125,941 is: 301,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690 : 125,941 = 125,941 : x
  2. Step 2: Convert to fraction form
    52,690/125,941 = 125,941/x
  3. Step 3: Cross multiply
    52,690x = 125,941 × 125,941
  4. Step 4: Simplify right side
    52,690x = 15,861,135,481
  5. Step 5: Solve for x
    x = 15,861,135,481/52,690
  6. Step 6: Final answer
    x = 301,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.