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Finding the Third Proportional to 87,728 and 192,526

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Solution

The third proportional to 87,728 and 192,526 is: 422,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,728 : 192,526 = 192,526 : x
  2. Step 2: Convert to fraction form
    87,728/192,526 = 192,526/x
  3. Step 3: Cross multiply
    87,728x = 192,526 × 192,526
  4. Step 4: Simplify right side
    87,728x = 37,066,260,676
  5. Step 5: Solve for x
    x = 37,066,260,676/87,728
  6. Step 6: Final answer
    x = 422,513.46

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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.