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Finding the Third Proportional to 50.94 and 110.43

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Solution

The third proportional to 50.94 and 110.43 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 110.43 = 110.43 : x
  2. Step 2: Convert to fraction form
    50.94/110.43 = 110.43/x
  3. Step 3: Cross multiply
    50.94x = 110.43 × 110.43
  4. Step 4: Simplify right side
    50.94x = 12,193.85
  5. Step 5: Solve for x
    x = 12,193.85/50.94
  6. Step 6: Final answer
    x = 239.37

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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.