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Finding the Third Proportional to 67.92 and 103.36

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Solution

The third proportional to 67.92 and 103.36 is: 157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 103.36 = 103.36 : x
  2. Step 2: Convert to fraction form
    67.92/103.36 = 103.36/x
  3. Step 3: Cross multiply
    67.92x = 103.36 × 103.36
  4. Step 4: Simplify right side
    67.92x = 10,683.16
  5. Step 5: Solve for x
    x = 10,683.16/67.92
  6. Step 6: Final answer
    x = 157.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.