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Finding the Third Proportional to 105.75 and 136.97

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Solution

The third proportional to 105.75 and 136.97 is: 177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 136.97 = 136.97 : x
  2. Step 2: Convert to fraction form
    105.75/136.97 = 136.97/x
  3. Step 3: Cross multiply
    105.75x = 136.97 × 136.97
  4. Step 4: Simplify right side
    105.75x = 18,760.44
  5. Step 5: Solve for x
    x = 18,760.44/105.75
  6. Step 6: Final answer
    x = 177.40

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.