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Finding the Third Proportional to 87,935 and 207,372

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Solution

The third proportional to 87,935 and 207,372 is: 489,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,935 : 207,372 = 207,372 : x
  2. Step 2: Convert to fraction form
    87,935/207,372 = 207,372/x
  3. Step 3: Cross multiply
    87,935x = 207,372 × 207,372
  4. Step 4: Simplify right side
    87,935x = 43,003,146,384
  5. Step 5: Solve for x
    x = 43,003,146,384/87,935
  6. Step 6: Final answer
    x = 489,033.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.