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Finding the Third Proportional to 129,872.25 and 195,189.75

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Solution

The third proportional to 129,872.25 and 195,189.75 is: 293,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,872.25 : 195,189.75 = 195,189.75 : x
  2. Step 2: Convert to fraction form
    129,872.25/195,189.75 = 195,189.75/x
  3. Step 3: Cross multiply
    129,872.25x = 195,189.75 × 195,189.75
  4. Step 4: Simplify right side
    129,872.25x = 38,099,038,505.06
  5. Step 5: Solve for x
    x = 38,099,038,505.06/129,872.25
  6. Step 6: Final answer
    x = 293,357.81

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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.