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Finding the Third Proportional to 56,992 and 124,472

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Solution

The third proportional to 56,992 and 124,472 is: 271,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,992 : 124,472 = 124,472 : x
  2. Step 2: Convert to fraction form
    56,992/124,472 = 124,472/x
  3. Step 3: Cross multiply
    56,992x = 124,472 × 124,472
  4. Step 4: Simplify right side
    56,992x = 15,493,278,784
  5. Step 5: Solve for x
    x = 15,493,278,784/56,992
  6. Step 6: Final answer
    x = 271,850.06

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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.