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Finding the Third Proportional to 87,768 and 192,262

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Solution

The third proportional to 87,768 and 192,262 is: 421,163.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,768 : 192,262 = 192,262 : x
  2. Step 2: Convert to fraction form
    87,768/192,262 = 192,262/x
  3. Step 3: Cross multiply
    87,768x = 192,262 × 192,262
  4. Step 4: Simplify right side
    87,768x = 36,964,676,644
  5. Step 5: Solve for x
    x = 36,964,676,644/87,768
  6. Step 6: Final answer
    x = 421,163.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.