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Finding the Third Proportional to 73,109 and 110,204

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Solution

The third proportional to 73,109 and 110,204 is: 166,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,109 : 110,204 = 110,204 : x
  2. Step 2: Convert to fraction form
    73,109/110,204 = 110,204/x
  3. Step 3: Cross multiply
    73,109x = 110,204 × 110,204
  4. Step 4: Simplify right side
    73,109x = 12,144,921,616
  5. Step 5: Solve for x
    x = 12,144,921,616/73,109
  6. Step 6: Final answer
    x = 166,120.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.