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Finding the Third Proportional to 69.28 and 104.43

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Solution

The third proportional to 69.28 and 104.43 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 104.43 = 104.43 : x
  2. Step 2: Convert to fraction form
    69.28/104.43 = 104.43/x
  3. Step 3: Cross multiply
    69.28x = 104.43 × 104.43
  4. Step 4: Simplify right side
    69.28x = 10,906.43
  5. Step 5: Solve for x
    x = 10,906.43/69.28
  6. Step 6: Final answer
    x = 157.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.