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Finding the Third Proportional to 87,664 and 192,014

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Solution

The third proportional to 87,664 and 192,014 is: 420,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,664 : 192,014 = 192,014 : x
  2. Step 2: Convert to fraction form
    87,664/192,014 = 192,014/x
  3. Step 3: Cross multiply
    87,664x = 192,014 × 192,014
  4. Step 4: Simplify right side
    87,664x = 36,869,376,196
  5. Step 5: Solve for x
    x = 36,869,376,196/87,664
  6. Step 6: Final answer
    x = 420,576.02

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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.