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Finding the Third Proportional to 51,292.50 and 80,178.75

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Solution

The third proportional to 51,292.50 and 80,178.75 is: 125,332.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,292.50 : 80,178.75 = 80,178.75 : x
  2. Step 2: Convert to fraction form
    51,292.50/80,178.75 = 80,178.75/x
  3. Step 3: Cross multiply
    51,292.50x = 80,178.75 × 80,178.75
  4. Step 4: Simplify right side
    51,292.50x = 6,428,631,951.56
  5. Step 5: Solve for x
    x = 6,428,631,951.56/51,292.50
  6. Step 6: Final answer
    x = 125,332.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.