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Finding the Third Proportional to 69.23 and 104.27

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Solution

The third proportional to 69.23 and 104.27 is: 157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.23 : 104.27 = 104.27 : x
  2. Step 2: Convert to fraction form
    69.23/104.27 = 104.27/x
  3. Step 3: Cross multiply
    69.23x = 104.27 × 104.27
  4. Step 4: Simplify right side
    69.23x = 10,871.54
  5. Step 5: Solve for x
    x = 10,871.54/69.23
  6. Step 6: Final answer
    x = 157.03

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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.