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Finding the Third Proportional to 129,902.25 and 206,859.75

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Solution

The third proportional to 129,902.25 and 206,859.75 is: 329,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,902.25 : 206,859.75 = 206,859.75 : x
  2. Step 2: Convert to fraction form
    129,902.25/206,859.75 = 206,859.75/x
  3. Step 3: Cross multiply
    129,902.25x = 206,859.75 × 206,859.75
  4. Step 4: Simplify right side
    129,902.25x = 42,790,956,170.06
  5. Step 5: Solve for x
    x = 42,790,956,170.06/129,902.25
  6. Step 6: Final answer
    x = 329,408.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.