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Finding the Third Proportional to 50.77 and 110.39

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Solution

The third proportional to 50.77 and 110.39 is: 240.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 110.39 = 110.39 : x
  2. Step 2: Convert to fraction form
    50.77/110.39 = 110.39/x
  3. Step 3: Cross multiply
    50.77x = 110.39 × 110.39
  4. Step 4: Simplify right side
    50.77x = 12,186.09
  5. Step 5: Solve for x
    x = 12,186.09/50.77
  6. Step 6: Final answer
    x = 240.05

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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.