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Finding the Third Proportional to 57.06 and 124.24

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Solution

The third proportional to 57.06 and 124.24 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.06 : 124.24 = 124.24 : x
  2. Step 2: Convert to fraction form
    57.06/124.24 = 124.24/x
  3. Step 3: Cross multiply
    57.06x = 124.24 × 124.24
  4. Step 4: Simplify right side
    57.06x = 15,436.12
  5. Step 5: Solve for x
    x = 15,436.12/57.06
  6. Step 6: Final answer
    x = 270.53

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Why These Related Problems?

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