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Finding the Third Proportional to 55.97 and 115.44

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Solution

The third proportional to 55.97 and 115.44 is: 238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 115.44 = 115.44 : x
  2. Step 2: Convert to fraction form
    55.97/115.44 = 115.44/x
  3. Step 3: Cross multiply
    55.97x = 115.44 × 115.44
  4. Step 4: Simplify right side
    55.97x = 13,325.82
  5. Step 5: Solve for x
    x = 13,325.82/55.97
  6. Step 6: Final answer
    x = 238.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.