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Finding the Third Proportional to 137.25 and 194.20

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Solution

The third proportional to 137.25 and 194.20 is: 274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.25 : 194.20 = 194.20 : x
  2. Step 2: Convert to fraction form
    137.25/194.20 = 194.20/x
  3. Step 3: Cross multiply
    137.25x = 194.20 × 194.20
  4. Step 4: Simplify right side
    137.25x = 37,714.85
  5. Step 5: Solve for x
    x = 37,714.85/137.25
  6. Step 6: Final answer
    x = 274.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.