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Finding the Third Proportional to 54.11 and 80.68

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Solution

The third proportional to 54.11 and 80.68 is: 120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.11 : 80.68 = 80.68 : x
  2. Step 2: Convert to fraction form
    54.11/80.68 = 80.68/x
  3. Step 3: Cross multiply
    54.11x = 80.68 × 80.68
  4. Step 4: Simplify right side
    54.11x = 6,509.84
  5. Step 5: Solve for x
    x = 6,509.84/54.11
  6. Step 6: Final answer
    x = 120.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.