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Finding the Third Proportional to 67 and 110.38

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Solution

The third proportional to 67 and 110.38 is: 181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 110.38 = 110.38 : x
  2. Step 2: Convert to fraction form
    67/110.38 = 110.38/x
  3. Step 3: Cross multiply
    67x = 110.38 × 110.38
  4. Step 4: Simplify right side
    67x = 12,182.64
  5. Step 5: Solve for x
    x = 12,182.64/67
  6. Step 6: Final answer
    x = 181.83

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.