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Finding the Third Proportional to 57.25 and 123.81

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Solution

The third proportional to 57.25 and 123.81 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 123.81 = 123.81 : x
  2. Step 2: Convert to fraction form
    57.25/123.81 = 123.81/x
  3. Step 3: Cross multiply
    57.25x = 123.81 × 123.81
  4. Step 4: Simplify right side
    57.25x = 15,329.54
  5. Step 5: Solve for x
    x = 15,329.54/57.25
  6. Step 6: Final answer
    x = 267.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.