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Finding the Third Proportional to 69.41 and 105.96

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Solution

The third proportional to 69.41 and 105.96 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.41 : 105.96 = 105.96 : x
  2. Step 2: Convert to fraction form
    69.41/105.96 = 105.96/x
  3. Step 3: Cross multiply
    69.41x = 105.96 × 105.96
  4. Step 4: Simplify right side
    69.41x = 11,226.79
  5. Step 5: Solve for x
    x = 11,226.79/69.41
  6. Step 6: Final answer
    x = 161.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.