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Finding the Third Proportional to 87,907 and 192,703

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Solution

The third proportional to 87,907 and 192,703 is: 422,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,907 : 192,703 = 192,703 : x
  2. Step 2: Convert to fraction form
    87,907/192,703 = 192,703/x
  3. Step 3: Cross multiply
    87,907x = 192,703 × 192,703
  4. Step 4: Simplify right side
    87,907x = 37,134,446,209
  5. Step 5: Solve for x
    x = 37,134,446,209/87,907
  6. Step 6: Final answer
    x = 422,428.77

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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.