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Finding the Third Proportional to 62 and 111

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Solution

The third proportional to 62 and 111 is: 198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62 : 111 = 111 : x
  2. Step 2: Convert to fraction form
    62/111 = 111/x
  3. Step 3: Cross multiply
    62x = 111 × 111
  4. Step 4: Simplify right side
    62x = 12,321
  5. Step 5: Solve for x
    x = 12,321/62
  6. Step 6: Final answer
    x = 198.73

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.