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Finding the Third Proportional to 69.25 and 104.38

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Solution

The third proportional to 69.25 and 104.38 is: 157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.25 : 104.38 = 104.38 : x
  2. Step 2: Convert to fraction form
    69.25/104.38 = 104.38/x
  3. Step 3: Cross multiply
    69.25x = 104.38 × 104.38
  4. Step 4: Simplify right side
    69.25x = 10,894.14
  5. Step 5: Solve for x
    x = 10,894.14/69.25
  6. Step 6: Final answer
    x = 157.32

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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.