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Finding the Third Proportional to 67.33 and 100.90

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Solution

The third proportional to 67.33 and 100.90 is: 151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.33 : 100.90 = 100.90 : x
  2. Step 2: Convert to fraction form
    67.33/100.90 = 100.90/x
  3. Step 3: Cross multiply
    67.33x = 100.90 × 100.90
  4. Step 4: Simplify right side
    67.33x = 10,180.49
  5. Step 5: Solve for x
    x = 10,180.49/67.33
  6. Step 6: Final answer
    x = 151.21

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