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Finding the Third Proportional to 50.71 and 110.27

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Solution

The third proportional to 50.71 and 110.27 is: 239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.71 : 110.27 = 110.27 : x
  2. Step 2: Convert to fraction form
    50.71/110.27 = 110.27/x
  3. Step 3: Cross multiply
    50.71x = 110.27 × 110.27
  4. Step 4: Simplify right side
    50.71x = 12,160.23
  5. Step 5: Solve for x
    x = 12,160.23/50.71
  6. Step 6: Final answer
    x = 239.81

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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.