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Finding the Third Proportional to 54.84 and 120.69

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Solution

The third proportional to 54.84 and 120.69 is: 265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 120.69 = 120.69 : x
  2. Step 2: Convert to fraction form
    54.84/120.69 = 120.69/x
  3. Step 3: Cross multiply
    54.84x = 120.69 × 120.69
  4. Step 4: Simplify right side
    54.84x = 14,565.47
  5. Step 5: Solve for x
    x = 14,565.47/54.84
  6. Step 6: Final answer
    x = 265.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.