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Finding the Third Proportional to 57,644 and 125,384

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Solution

The third proportional to 57,644 and 125,384 is: 272,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644 : 125,384 = 125,384 : x
  2. Step 2: Convert to fraction form
    57,644/125,384 = 125,384/x
  3. Step 3: Cross multiply
    57,644x = 125,384 × 125,384
  4. Step 4: Simplify right side
    57,644x = 15,721,147,456
  5. Step 5: Solve for x
    x = 15,721,147,456/57,644
  6. Step 6: Final answer
    x = 272,728.25

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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.