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Finding the Third Proportional to 69.25 and 100.75

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Solution

The third proportional to 69.25 and 100.75 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.25 : 100.75 = 100.75 : x
  2. Step 2: Convert to fraction form
    69.25/100.75 = 100.75/x
  3. Step 3: Cross multiply
    69.25x = 100.75 × 100.75
  4. Step 4: Simplify right side
    69.25x = 10,150.56
  5. Step 5: Solve for x
    x = 10,150.56/69.25
  6. Step 6: Final answer
    x = 146.58

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.