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Finding the Third Proportional to 87,174 and 188,796

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Solution

The third proportional to 87,174 and 188,796 is: 408,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,174 : 188,796 = 188,796 : x
  2. Step 2: Convert to fraction form
    87,174/188,796 = 188,796/x
  3. Step 3: Cross multiply
    87,174x = 188,796 × 188,796
  4. Step 4: Simplify right side
    87,174x = 35,643,929,616
  5. Step 5: Solve for x
    x = 35,643,929,616/87,174
  6. Step 6: Final answer
    x = 408,882.58

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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.