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Finding the Third Proportional to 80.91 and 123.09

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Solution

The third proportional to 80.91 and 123.09 is: 187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.91 : 123.09 = 123.09 : x
  2. Step 2: Convert to fraction form
    80.91/123.09 = 123.09/x
  3. Step 3: Cross multiply
    80.91x = 123.09 × 123.09
  4. Step 4: Simplify right side
    80.91x = 15,152.07
  5. Step 5: Solve for x
    x = 15,152.07/80.91
  6. Step 6: Final answer
    x = 187.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.