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Finding the Third Proportional to 50 and 110.13

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Solution

The third proportional to 50 and 110.13 is: 242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 110.13 = 110.13 : x
  2. Step 2: Convert to fraction form
    50/110.13 = 110.13/x
  3. Step 3: Cross multiply
    50x = 110.13 × 110.13
  4. Step 4: Simplify right side
    50x = 12,127.52
  5. Step 5: Solve for x
    x = 12,127.52/50
  6. Step 6: Final answer
    x = 242.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.