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Finding the Third Proportional to 97.97 and 140.44

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Solution

The third proportional to 97.97 and 140.44 is: 201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.97 : 140.44 = 140.44 : x
  2. Step 2: Convert to fraction form
    97.97/140.44 = 140.44/x
  3. Step 3: Cross multiply
    97.97x = 140.44 × 140.44
  4. Step 4: Simplify right side
    97.97x = 19,722.69
  5. Step 5: Solve for x
    x = 19,722.69/97.97
  6. Step 6: Final answer
    x = 201.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.