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Finding the Third Proportional to 56,932 and 124,952

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Solution

The third proportional to 56,932 and 124,952 is: 274,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,932 : 124,952 = 124,952 : x
  2. Step 2: Convert to fraction form
    56,932/124,952 = 124,952/x
  3. Step 3: Cross multiply
    56,932x = 124,952 × 124,952
  4. Step 4: Simplify right side
    56,932x = 15,613,002,304
  5. Step 5: Solve for x
    x = 15,613,002,304/56,932
  6. Step 6: Final answer
    x = 274,239.48

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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.