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Finding the Third Proportional to 83,589 and 183,753

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Solution

The third proportional to 83,589 and 183,753 is: 403,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,589 : 183,753 = 183,753 : x
  2. Step 2: Convert to fraction form
    83,589/183,753 = 183,753/x
  3. Step 3: Cross multiply
    83,589x = 183,753 × 183,753
  4. Step 4: Simplify right side
    83,589x = 33,765,165,009
  5. Step 5: Solve for x
    x = 33,765,165,009/83,589
  6. Step 6: Final answer
    x = 403,942.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.