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Finding the Third Proportional to 106,059 and 234,198

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Solution

The third proportional to 106,059 and 234,198 is: 517,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,059 : 234,198 = 234,198 : x
  2. Step 2: Convert to fraction form
    106,059/234,198 = 234,198/x
  3. Step 3: Cross multiply
    106,059x = 234,198 × 234,198
  4. Step 4: Simplify right side
    106,059x = 54,848,703,204
  5. Step 5: Solve for x
    x = 54,848,703,204/106,059
  6. Step 6: Final answer
    x = 517,152.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.