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Finding the Third Proportional to 57,644 and 125,388

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Solution

The third proportional to 57,644 and 125,388 is: 272,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,644 : 125,388 = 125,388 : x
  2. Step 2: Convert to fraction form
    57,644/125,388 = 125,388/x
  3. Step 3: Cross multiply
    57,644x = 125,388 × 125,388
  4. Step 4: Simplify right side
    57,644x = 15,722,150,544
  5. Step 5: Solve for x
    x = 15,722,150,544/57,644
  6. Step 6: Final answer
    x = 272,745.66

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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.