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Finding the Third Proportional to 57.66 and 124.31

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Solution

The third proportional to 57.66 and 124.31 is: 268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.66 : 124.31 = 124.31 : x
  2. Step 2: Convert to fraction form
    57.66/124.31 = 124.31/x
  3. Step 3: Cross multiply
    57.66x = 124.31 × 124.31
  4. Step 4: Simplify right side
    57.66x = 15,453.60
  5. Step 5: Solve for x
    x = 15,453.60/57.66
  6. Step 6: Final answer
    x = 268.03

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Why These Related Problems?

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