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Finding the Third Proportional to 140.06 and 195.91

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Solution

The third proportional to 140.06 and 195.91 is: 274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.06 : 195.91 = 195.91 : x
  2. Step 2: Convert to fraction form
    140.06/195.91 = 195.91/x
  3. Step 3: Cross multiply
    140.06x = 195.91 × 195.91
  4. Step 4: Simplify right side
    140.06x = 38,382.32
  5. Step 5: Solve for x
    x = 38,382.32/140.06
  6. Step 6: Final answer
    x = 274.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.