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Finding the Third Proportional to 87,766 and 192,693

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Solution

The third proportional to 87,766 and 192,693 is: 423,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,766 : 192,693 = 192,693 : x
  2. Step 2: Convert to fraction form
    87,766/192,693 = 192,693/x
  3. Step 3: Cross multiply
    87,766x = 192,693 × 192,693
  4. Step 4: Simplify right side
    87,766x = 37,130,592,249
  5. Step 5: Solve for x
    x = 37,130,592,249/87,766
  6. Step 6: Final answer
    x = 423,063.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.