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Finding the Third Proportional to 105.75 and 135.56

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Solution

The third proportional to 105.75 and 135.56 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 135.56 = 135.56 : x
  2. Step 2: Convert to fraction form
    105.75/135.56 = 135.56/x
  3. Step 3: Cross multiply
    105.75x = 135.56 × 135.56
  4. Step 4: Simplify right side
    105.75x = 18,377.19
  5. Step 5: Solve for x
    x = 18,377.19/105.75
  6. Step 6: Final answer
    x = 173.78

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.