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Finding the Third Proportional to 84,921 and 179,956

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Solution

The third proportional to 84,921 and 179,956 is: 381,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,921 : 179,956 = 179,956 : x
  2. Step 2: Convert to fraction form
    84,921/179,956 = 179,956/x
  3. Step 3: Cross multiply
    84,921x = 179,956 × 179,956
  4. Step 4: Simplify right side
    84,921x = 32,384,161,936
  5. Step 5: Solve for x
    x = 32,384,161,936/84,921
  6. Step 6: Final answer
    x = 381,344.57

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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.