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Finding the Third Proportional to 80,856.75 and 175,698.75

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Solution

The third proportional to 80,856.75 and 175,698.75 is: 381,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,856.75 : 175,698.75 = 175,698.75 : x
  2. Step 2: Convert to fraction form
    80,856.75/175,698.75 = 175,698.75/x
  3. Step 3: Cross multiply
    80,856.75x = 175,698.75 × 175,698.75
  4. Step 4: Simplify right side
    80,856.75x = 30,870,050,751.56
  5. Step 5: Solve for x
    x = 30,870,050,751.56/80,856.75
  6. Step 6: Final answer
    x = 381,786.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.