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Finding the Third Proportional to 62.78 and 110.34

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Solution

The third proportional to 62.78 and 110.34 is: 193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 110.34 = 110.34 : x
  2. Step 2: Convert to fraction form
    62.78/110.34 = 110.34/x
  3. Step 3: Cross multiply
    62.78x = 110.34 × 110.34
  4. Step 4: Simplify right side
    62.78x = 12,175.74
  5. Step 5: Solve for x
    x = 12,175.74/62.78
  6. Step 6: Final answer
    x = 193.94

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.