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Finding the Third Proportional to 57,264 and 125,552

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Solution

The third proportional to 57,264 and 125,552 is: 275,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,264 : 125,552 = 125,552 : x
  2. Step 2: Convert to fraction form
    57,264/125,552 = 125,552/x
  3. Step 3: Cross multiply
    57,264x = 125,552 × 125,552
  4. Step 4: Simplify right side
    57,264x = 15,763,304,704
  5. Step 5: Solve for x
    x = 15,763,304,704/57,264
  6. Step 6: Final answer
    x = 275,274.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.