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Finding the Third Proportional to 69.97 and 141.44

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Solution

The third proportional to 69.97 and 141.44 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.97 : 141.44 = 141.44 : x
  2. Step 2: Convert to fraction form
    69.97/141.44 = 141.44/x
  3. Step 3: Cross multiply
    69.97x = 141.44 × 141.44
  4. Step 4: Simplify right side
    69.97x = 20,004.57
  5. Step 5: Solve for x
    x = 20,004.57/69.97
  6. Step 6: Final answer
    x = 285.91

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.