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Finding the Third Proportional to 57,393 and 121,626

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Solution

The third proportional to 57,393 and 121,626 is: 257,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,393 : 121,626 = 121,626 : x
  2. Step 2: Convert to fraction form
    57,393/121,626 = 121,626/x
  3. Step 3: Cross multiply
    57,393x = 121,626 × 121,626
  4. Step 4: Simplify right side
    57,393x = 14,792,883,876
  5. Step 5: Solve for x
    x = 14,792,883,876/57,393
  6. Step 6: Final answer
    x = 257,747.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.