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Finding the Third Proportional to 105.94 and 161.72

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Solution

The third proportional to 105.94 and 161.72 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.94 : 161.72 = 161.72 : x
  2. Step 2: Convert to fraction form
    105.94/161.72 = 161.72/x
  3. Step 3: Cross multiply
    105.94x = 161.72 × 161.72
  4. Step 4: Simplify right side
    105.94x = 26,152.95
  5. Step 5: Solve for x
    x = 26,152.95/105.94
  6. Step 6: Final answer
    x = 246.87

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