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Finding the Third Proportional to 60.96 and 123.61

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Solution

The third proportional to 60.96 and 123.61 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.96 : 123.61 = 123.61 : x
  2. Step 2: Convert to fraction form
    60.96/123.61 = 123.61/x
  3. Step 3: Cross multiply
    60.96x = 123.61 × 123.61
  4. Step 4: Simplify right side
    60.96x = 15,279.28
  5. Step 5: Solve for x
    x = 15,279.28/60.96
  6. Step 6: Final answer
    x = 250.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.