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Finding the Third Proportional to 57.91 and 126.31

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Solution

The third proportional to 57.91 and 126.31 is: 275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.91 : 126.31 = 126.31 : x
  2. Step 2: Convert to fraction form
    57.91/126.31 = 126.31/x
  3. Step 3: Cross multiply
    57.91x = 126.31 × 126.31
  4. Step 4: Simplify right side
    57.91x = 15,954.85
  5. Step 5: Solve for x
    x = 15,954.85/57.91
  6. Step 6: Final answer
    x = 275.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.