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Finding the Third Proportional to 67.97 and 102.59

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Solution

The third proportional to 67.97 and 102.59 is: 154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.97 : 102.59 = 102.59 : x
  2. Step 2: Convert to fraction form
    67.97/102.59 = 102.59/x
  3. Step 3: Cross multiply
    67.97x = 102.59 × 102.59
  4. Step 4: Simplify right side
    67.97x = 10,523.87
  5. Step 5: Solve for x
    x = 10,523.87/67.97
  6. Step 6: Final answer
    x = 154.83

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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.