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Finding the Third Proportional to 87,916 and 192,679

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Solution

The third proportional to 87,916 and 192,679 is: 422,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,916 : 192,679 = 192,679 : x
  2. Step 2: Convert to fraction form
    87,916/192,679 = 192,679/x
  3. Step 3: Cross multiply
    87,916x = 192,679 × 192,679
  4. Step 4: Simplify right side
    87,916x = 37,125,197,041
  5. Step 5: Solve for x
    x = 37,125,197,041/87,916
  6. Step 6: Final answer
    x = 422,280.32

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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.