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Finding the Third Proportional to 87,998 and 141,682

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Solution

The third proportional to 87,998 and 141,682 is: 228,116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,998 : 141,682 = 141,682 : x
  2. Step 2: Convert to fraction form
    87,998/141,682 = 141,682/x
  3. Step 3: Cross multiply
    87,998x = 141,682 × 141,682
  4. Step 4: Simplify right side
    87,998x = 20,073,789,124
  5. Step 5: Solve for x
    x = 20,073,789,124/87,998
  6. Step 6: Final answer
    x = 228,116.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.