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Finding the Third Proportional to 55.27 and 115.73

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Solution

The third proportional to 55.27 and 115.73 is: 242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.27 : 115.73 = 115.73 : x
  2. Step 2: Convert to fraction form
    55.27/115.73 = 115.73/x
  3. Step 3: Cross multiply
    55.27x = 115.73 × 115.73
  4. Step 4: Simplify right side
    55.27x = 13,394.45
  5. Step 5: Solve for x
    x = 13,394.45/55.27
  6. Step 6: Final answer
    x = 242.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.