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Finding the Third Proportional to 124.13 and 175.88

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Solution

The third proportional to 124.13 and 175.88 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.13 : 175.88 = 175.88 : x
  2. Step 2: Convert to fraction form
    124.13/175.88 = 175.88/x
  3. Step 3: Cross multiply
    124.13x = 175.88 × 175.88
  4. Step 4: Simplify right side
    124.13x = 30,932.02
  5. Step 5: Solve for x
    x = 30,932.02/124.13
  6. Step 6: Final answer
    x = 249.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.