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Finding the Third Proportional to 87,964 and 192,058

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Solution

The third proportional to 87,964 and 192,058 is: 419,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,964 : 192,058 = 192,058 : x
  2. Step 2: Convert to fraction form
    87,964/192,058 = 192,058/x
  3. Step 3: Cross multiply
    87,964x = 192,058 × 192,058
  4. Step 4: Simplify right side
    87,964x = 36,886,275,364
  5. Step 5: Solve for x
    x = 36,886,275,364/87,964
  6. Step 6: Final answer
    x = 419,333.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.