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Finding the Third Proportional to 49.27 and 104.99

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Solution

The third proportional to 49.27 and 104.99 is: 223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.27 : 104.99 = 104.99 : x
  2. Step 2: Convert to fraction form
    49.27/104.99 = 104.99/x
  3. Step 3: Cross multiply
    49.27x = 104.99 × 104.99
  4. Step 4: Simplify right side
    49.27x = 11,022.54
  5. Step 5: Solve for x
    x = 11,022.54/49.27
  6. Step 6: Final answer
    x = 223.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.