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Finding the Third Proportional to 57.27 and 124.98

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Solution

The third proportional to 57.27 and 124.98 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.27 : 124.98 = 124.98 : x
  2. Step 2: Convert to fraction form
    57.27/124.98 = 124.98/x
  3. Step 3: Cross multiply
    57.27x = 124.98 × 124.98
  4. Step 4: Simplify right side
    57.27x = 15,620.12
  5. Step 5: Solve for x
    x = 15,620.12/57.27
  6. Step 6: Final answer
    x = 272.75

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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.