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Finding the Third Proportional to 87,848 and 192,424

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Solution

The third proportional to 87,848 and 192,424 is: 421,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,848 : 192,424 = 192,424 : x
  2. Step 2: Convert to fraction form
    87,848/192,424 = 192,424/x
  3. Step 3: Cross multiply
    87,848x = 192,424 × 192,424
  4. Step 4: Simplify right side
    87,848x = 37,026,995,776
  5. Step 5: Solve for x
    x = 37,026,995,776/87,848
  6. Step 6: Final answer
    x = 421,489.34

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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.