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Finding the Third Proportional to 41,721 and 86,894

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Solution

The third proportional to 41,721 and 86,894 is: 180,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,721 : 86,894 = 86,894 : x
  2. Step 2: Convert to fraction form
    41,721/86,894 = 86,894/x
  3. Step 3: Cross multiply
    41,721x = 86,894 × 86,894
  4. Step 4: Simplify right side
    41,721x = 7,550,567,236
  5. Step 5: Solve for x
    x = 7,550,567,236/41,721
  6. Step 6: Final answer
    x = 180,977.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.