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Finding the Third Proportional to 80 and 123.25

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Solution

The third proportional to 80 and 123.25 is: 189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80 : 123.25 = 123.25 : x
  2. Step 2: Convert to fraction form
    80/123.25 = 123.25/x
  3. Step 3: Cross multiply
    80x = 123.25 × 123.25
  4. Step 4: Simplify right side
    80x = 15,190.56
  5. Step 5: Solve for x
    x = 15,190.56/80
  6. Step 6: Final answer
    x = 189.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.