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Finding the Third Proportional to 62.44 and 136.09

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Solution

The third proportional to 62.44 and 136.09 is: 296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.44 : 136.09 = 136.09 : x
  2. Step 2: Convert to fraction form
    62.44/136.09 = 136.09/x
  3. Step 3: Cross multiply
    62.44x = 136.09 × 136.09
  4. Step 4: Simplify right side
    62.44x = 18,520.45
  5. Step 5: Solve for x
    x = 18,520.45/62.44
  6. Step 6: Final answer
    x = 296.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.