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Finding the Third Proportional to 129,157.25 and 278,105.25

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Solution

The third proportional to 129,157.25 and 278,105.25 is: 598,824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,157.25 : 278,105.25 = 278,105.25 : x
  2. Step 2: Convert to fraction form
    129,157.25/278,105.25 = 278,105.25/x
  3. Step 3: Cross multiply
    129,157.25x = 278,105.25 × 278,105.25
  4. Step 4: Simplify right side
    129,157.25x = 77,342,530,077.56
  5. Step 5: Solve for x
    x = 77,342,530,077.56/129,157.25
  6. Step 6: Final answer
    x = 598,824.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.