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Finding the Third Proportional to 96.75 and 108.75

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Solution

The third proportional to 96.75 and 108.75 is: 122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 108.75 = 108.75 : x
  2. Step 2: Convert to fraction form
    96.75/108.75 = 108.75/x
  3. Step 3: Cross multiply
    96.75x = 108.75 × 108.75
  4. Step 4: Simplify right side
    96.75x = 11,826.56
  5. Step 5: Solve for x
    x = 11,826.56/96.75
  6. Step 6: Final answer
    x = 122.24

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.