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Finding the Third Proportional to 62.92 and 133.41

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Solution

The third proportional to 62.92 and 133.41 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.92 : 133.41 = 133.41 : x
  2. Step 2: Convert to fraction form
    62.92/133.41 = 133.41/x
  3. Step 3: Cross multiply
    62.92x = 133.41 × 133.41
  4. Step 4: Simplify right side
    62.92x = 17,797.23
  5. Step 5: Solve for x
    x = 17,797.23/62.92
  6. Step 6: Final answer
    x = 282.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.