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Finding the Third Proportional to 80,908.75 and 125,623.25

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Solution

The third proportional to 80,908.75 and 125,623.25 is: 195,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,908.75 : 125,623.25 = 125,623.25 : x
  2. Step 2: Convert to fraction form
    80,908.75/125,623.25 = 125,623.25/x
  3. Step 3: Cross multiply
    80,908.75x = 125,623.25 × 125,623.25
  4. Step 4: Simplify right side
    80,908.75x = 15,781,200,940.56
  5. Step 5: Solve for x
    x = 15,781,200,940.56/80,908.75
  6. Step 6: Final answer
    x = 195,049.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.