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Finding the Third Proportional to 67.50 and 96.75

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Solution

The third proportional to 67.50 and 96.75 is: 138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.50 : 96.75 = 96.75 : x
  2. Step 2: Convert to fraction form
    67.50/96.75 = 96.75/x
  3. Step 3: Cross multiply
    67.50x = 96.75 × 96.75
  4. Step 4: Simplify right side
    67.50x = 9,360.56
  5. Step 5: Solve for x
    x = 9,360.56/67.50
  6. Step 6: Final answer
    x = 138.68

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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.