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Finding the Third Proportional to 122,006 and 194,809

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Solution

The third proportional to 122,006 and 194,809 is: 311,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006 : 194,809 = 194,809 : x
  2. Step 2: Convert to fraction form
    122,006/194,809 = 194,809/x
  3. Step 3: Cross multiply
    122,006x = 194,809 × 194,809
  4. Step 4: Simplify right side
    122,006x = 37,950,546,481
  5. Step 5: Solve for x
    x = 37,950,546,481/122,006
  6. Step 6: Final answer
    x = 311,054.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.