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Finding the Third Proportional to 84,601 and 183,782

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Solution

The third proportional to 84,601 and 183,782 is: 399,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,601 : 183,782 = 183,782 : x
  2. Step 2: Convert to fraction form
    84,601/183,782 = 183,782/x
  3. Step 3: Cross multiply
    84,601x = 183,782 × 183,782
  4. Step 4: Simplify right side
    84,601x = 33,775,823,524
  5. Step 5: Solve for x
    x = 33,775,823,524/84,601
  6. Step 6: Final answer
    x = 399,236.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.