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Finding the Third Proportional to 84,954 and 180,021

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Solution

The third proportional to 84,954 and 180,021 is: 381,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,954 : 180,021 = 180,021 : x
  2. Step 2: Convert to fraction form
    84,954/180,021 = 180,021/x
  3. Step 3: Cross multiply
    84,954x = 180,021 × 180,021
  4. Step 4: Simplify right side
    84,954x = 32,407,560,441
  5. Step 5: Solve for x
    x = 32,407,560,441/84,954
  6. Step 6: Final answer
    x = 381,471.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.