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Finding the Third Proportional to 67 and 120.75

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Solution

The third proportional to 67 and 120.75 is: 217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 120.75 = 120.75 : x
  2. Step 2: Convert to fraction form
    67/120.75 = 120.75/x
  3. Step 3: Cross multiply
    67x = 120.75 × 120.75
  4. Step 4: Simplify right side
    67x = 14,580.56
  5. Step 5: Solve for x
    x = 14,580.56/67
  6. Step 6: Final answer
    x = 217.62

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.