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Finding the Third Proportional to 59.44 and 140.97

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Solution

The third proportional to 59.44 and 140.97 is: 334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.44 : 140.97 = 140.97 : x
  2. Step 2: Convert to fraction form
    59.44/140.97 = 140.97/x
  3. Step 3: Cross multiply
    59.44x = 140.97 × 140.97
  4. Step 4: Simplify right side
    59.44x = 19,872.19
  5. Step 5: Solve for x
    x = 19,872.19/59.44
  6. Step 6: Final answer
    x = 334.34

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.