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Finding the Third Proportional to 112.85 and 167.27

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Solution

The third proportional to 112.85 and 167.27 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 167.27 = 167.27 : x
  2. Step 2: Convert to fraction form
    112.85/167.27 = 167.27/x
  3. Step 3: Cross multiply
    112.85x = 167.27 × 167.27
  4. Step 4: Simplify right side
    112.85x = 27,980.40
  5. Step 5: Solve for x
    x = 27,980.40/112.85
  6. Step 6: Final answer
    x = 247.94

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.