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Finding the Third Proportional to 87,176 and 188,800

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Solution

The third proportional to 87,176 and 188,800 is: 408,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176 : 188,800 = 188,800 : x
  2. Step 2: Convert to fraction form
    87,176/188,800 = 188,800/x
  3. Step 3: Cross multiply
    87,176x = 188,800 × 188,800
  4. Step 4: Simplify right side
    87,176x = 35,645,440,000
  5. Step 5: Solve for x
    x = 35,645,440,000/87,176
  6. Step 6: Final answer
    x = 408,890.52

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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.