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Finding the Third Proportional to 54.74 and 96.27

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Solution

The third proportional to 54.74 and 96.27 is: 169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.74 : 96.27 = 96.27 : x
  2. Step 2: Convert to fraction form
    54.74/96.27 = 96.27/x
  3. Step 3: Cross multiply
    54.74x = 96.27 × 96.27
  4. Step 4: Simplify right side
    54.74x = 9,267.26
  5. Step 5: Solve for x
    x = 9,267.26/54.74
  6. Step 6: Final answer
    x = 169.30

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.