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Finding the Third Proportional to 57,626 and 125,348

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Solution

The third proportional to 57,626 and 125,348 is: 272,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,626 : 125,348 = 125,348 : x
  2. Step 2: Convert to fraction form
    57,626/125,348 = 125,348/x
  3. Step 3: Cross multiply
    57,626x = 125,348 × 125,348
  4. Step 4: Simplify right side
    57,626x = 15,712,121,104
  5. Step 5: Solve for x
    x = 15,712,121,104/57,626
  6. Step 6: Final answer
    x = 272,656.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.