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Finding the Third Proportional to 96.75 and 126.94

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Solution

The third proportional to 96.75 and 126.94 is: 166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 126.94 = 126.94 : x
  2. Step 2: Convert to fraction form
    96.75/126.94 = 126.94/x
  3. Step 3: Cross multiply
    96.75x = 126.94 × 126.94
  4. Step 4: Simplify right side
    96.75x = 16,113.13
  5. Step 5: Solve for x
    x = 16,113.13/96.75
  6. Step 6: Final answer
    x = 166.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.