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Finding the Third Proportional to 105.97 and 158.41

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Solution

The third proportional to 105.97 and 158.41 is: 236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.97 : 158.41 = 158.41 : x
  2. Step 2: Convert to fraction form
    105.97/158.41 = 158.41/x
  3. Step 3: Cross multiply
    105.97x = 158.41 × 158.41
  4. Step 4: Simplify right side
    105.97x = 25,092.54
  5. Step 5: Solve for x
    x = 25,092.54/105.97
  6. Step 6: Final answer
    x = 236.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.