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Finding the Third Proportional to 57 and 131.81

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Solution

The third proportional to 57 and 131.81 is: 304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 131.81 = 131.81 : x
  2. Step 2: Convert to fraction form
    57/131.81 = 131.81/x
  3. Step 3: Cross multiply
    57x = 131.81 × 131.81
  4. Step 4: Simplify right side
    57x = 17,374.54
  5. Step 5: Solve for x
    x = 17,374.54/57
  6. Step 6: Final answer
    x = 304.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.