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Finding the Third Proportional to 67 and 96

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Solution

The third proportional to 67 and 96 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 96 = 96 : x
  2. Step 2: Convert to fraction form
    67/96 = 96/x
  3. Step 3: Cross multiply
    67x = 96 × 96
  4. Step 4: Simplify right side
    67x = 9,216
  5. Step 5: Solve for x
    x = 9,216/67
  6. Step 6: Final answer
    x = 137.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.