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Finding the Third Proportional to 57.47 and 126.33

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Solution

The third proportional to 57.47 and 126.33 is: 277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 126.33 = 126.33 : x
  2. Step 2: Convert to fraction form
    57.47/126.33 = 126.33/x
  3. Step 3: Cross multiply
    57.47x = 126.33 × 126.33
  4. Step 4: Simplify right side
    57.47x = 15,958.80
  5. Step 5: Solve for x
    x = 15,958.80/57.47
  6. Step 6: Final answer
    x = 277.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.