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Finding the Third Proportional to 66.75 and 103.25

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Solution

The third proportional to 66.75 and 103.25 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 103.25 = 103.25 : x
  2. Step 2: Convert to fraction form
    66.75/103.25 = 103.25/x
  3. Step 3: Cross multiply
    66.75x = 103.25 × 103.25
  4. Step 4: Simplify right side
    66.75x = 10,660.56
  5. Step 5: Solve for x
    x = 10,660.56/66.75
  6. Step 6: Final answer
    x = 159.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.