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Finding the Third Proportional to 129,936.25 and 194,373.44

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Solution

The third proportional to 129,936.25 and 194,373.44 is: 290,765.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,936.25 : 194,373.44 = 194,373.44 : x
  2. Step 2: Convert to fraction form
    129,936.25/194,373.44 = 194,373.44/x
  3. Step 3: Cross multiply
    129,936.25x = 194,373.44 × 194,373.44
  4. Step 4: Simplify right side
    129,936.25x = 37,781,033,205.57
  5. Step 5: Solve for x
    x = 37,781,033,205.57/129,936.25
  6. Step 6: Final answer
    x = 290,765.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.