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Finding the Third Proportional to 55.38 and 120.88

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Solution

The third proportional to 55.38 and 120.88 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.38 : 120.88 = 120.88 : x
  2. Step 2: Convert to fraction form
    55.38/120.88 = 120.88/x
  3. Step 3: Cross multiply
    55.38x = 120.88 × 120.88
  4. Step 4: Simplify right side
    55.38x = 14,610.77
  5. Step 5: Solve for x
    x = 14,610.77/55.38
  6. Step 6: Final answer
    x = 263.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.