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Finding the Third Proportional to 116.72 and 140.44

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Solution

The third proportional to 116.72 and 140.44 is: 168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.72 : 140.44 = 140.44 : x
  2. Step 2: Convert to fraction form
    116.72/140.44 = 140.44/x
  3. Step 3: Cross multiply
    116.72x = 140.44 × 140.44
  4. Step 4: Simplify right side
    116.72x = 19,722.69
  5. Step 5: Solve for x
    x = 19,722.69/116.72
  6. Step 6: Final answer
    x = 168.98

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.