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Finding the Third Proportional to 44,163 and 104,184

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Solution

The third proportional to 44,163 and 104,184 is: 245,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,163 : 104,184 = 104,184 : x
  2. Step 2: Convert to fraction form
    44,163/104,184 = 104,184/x
  3. Step 3: Cross multiply
    44,163x = 104,184 × 104,184
  4. Step 4: Simplify right side
    44,163x = 10,854,305,856
  5. Step 5: Solve for x
    x = 10,854,305,856/44,163
  6. Step 6: Final answer
    x = 245,778.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.