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Finding the Third Proportional to 67.87 and 108.69

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Solution

The third proportional to 67.87 and 108.69 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.87 : 108.69 = 108.69 : x
  2. Step 2: Convert to fraction form
    67.87/108.69 = 108.69/x
  3. Step 3: Cross multiply
    67.87x = 108.69 × 108.69
  4. Step 4: Simplify right side
    67.87x = 11,812.55
  5. Step 5: Solve for x
    x = 11,812.55/67.87
  6. Step 6: Final answer
    x = 174.05

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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.