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Finding the Third Proportional to 129,888.25 and 194,310.75

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Solution

The third proportional to 129,888.25 and 194,310.75 is: 290,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888.25 : 194,310.75 = 194,310.75 : x
  2. Step 2: Convert to fraction form
    129,888.25/194,310.75 = 194,310.75/x
  3. Step 3: Cross multiply
    129,888.25x = 194,310.75 × 194,310.75
  4. Step 4: Simplify right side
    129,888.25x = 37,756,667,565.56
  5. Step 5: Solve for x
    x = 37,756,667,565.56/129,888.25
  6. Step 6: Final answer
    x = 290,685.78

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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.