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Finding the Third Proportional to 50.44 and 109.44

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Solution

The third proportional to 50.44 and 109.44 is: 237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.44 : 109.44 = 109.44 : x
  2. Step 2: Convert to fraction form
    50.44/109.44 = 109.44/x
  3. Step 3: Cross multiply
    50.44x = 109.44 × 109.44
  4. Step 4: Simplify right side
    50.44x = 11,976.57
  5. Step 5: Solve for x
    x = 11,976.57/50.44
  6. Step 6: Final answer
    x = 237.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.