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Finding the Third Proportional to 103.97 and 166.55

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Solution

The third proportional to 103.97 and 166.55 is: 266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 166.55 = 166.55 : x
  2. Step 2: Convert to fraction form
    103.97/166.55 = 166.55/x
  3. Step 3: Cross multiply
    103.97x = 166.55 × 166.55
  4. Step 4: Simplify right side
    103.97x = 27,737.86
  5. Step 5: Solve for x
    x = 27,737.86/103.97
  6. Step 6: Final answer
    x = 266.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.