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Finding the Third Proportional to 57,398 and 125,872

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Solution

The third proportional to 57,398 and 125,872 is: 276,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398 : 125,872 = 125,872 : x
  2. Step 2: Convert to fraction form
    57,398/125,872 = 125,872/x
  3. Step 3: Cross multiply
    57,398x = 125,872 × 125,872
  4. Step 4: Simplify right side
    57,398x = 15,843,760,384
  5. Step 5: Solve for x
    x = 15,843,760,384/57,398
  6. Step 6: Final answer
    x = 276,033.32

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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.