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Finding the Third Proportional to 122,012 and 194,105

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Solution

The third proportional to 122,012 and 194,105 is: 308,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,012 : 194,105 = 194,105 : x
  2. Step 2: Convert to fraction form
    122,012/194,105 = 194,105/x
  3. Step 3: Cross multiply
    122,012x = 194,105 × 194,105
  4. Step 4: Simplify right side
    122,012x = 37,676,751,025
  5. Step 5: Solve for x
    x = 37,676,751,025/122,012
  6. Step 6: Final answer
    x = 308,795.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.