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Finding the Third Proportional to 67 and 100.19

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Solution

The third proportional to 67 and 100.19 is: 149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 100.19 = 100.19 : x
  2. Step 2: Convert to fraction form
    67/100.19 = 100.19/x
  3. Step 3: Cross multiply
    67x = 100.19 × 100.19
  4. Step 4: Simplify right side
    67x = 10,037.54
  5. Step 5: Solve for x
    x = 10,037.54/67
  6. Step 6: Final answer
    x = 149.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.