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Finding the Third Proportional to 44.06 and 105.09

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Solution

The third proportional to 44.06 and 105.09 is: 250.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.06 : 105.09 = 105.09 : x
  2. Step 2: Convert to fraction form
    44.06/105.09 = 105.09/x
  3. Step 3: Cross multiply
    44.06x = 105.09 × 105.09
  4. Step 4: Simplify right side
    44.06x = 11,044.70
  5. Step 5: Solve for x
    x = 11,044.70/44.06
  6. Step 6: Final answer
    x = 250.66

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.