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Finding the Third Proportional to 45,006 and 104,193

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Solution

The third proportional to 45,006 and 104,193 is: 241,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,006 : 104,193 = 104,193 : x
  2. Step 2: Convert to fraction form
    45,006/104,193 = 104,193/x
  3. Step 3: Cross multiply
    45,006x = 104,193 × 104,193
  4. Step 4: Simplify right side
    45,006x = 10,856,181,249
  5. Step 5: Solve for x
    x = 10,856,181,249/45,006
  6. Step 6: Final answer
    x = 241,216.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.