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Finding the Third Proportional to 104,041 and 221,042

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Solution

The third proportional to 104,041 and 221,042 is: 469,618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,041 : 221,042 = 221,042 : x
  2. Step 2: Convert to fraction form
    104,041/221,042 = 221,042/x
  3. Step 3: Cross multiply
    104,041x = 221,042 × 221,042
  4. Step 4: Simplify right side
    104,041x = 48,859,565,764
  5. Step 5: Solve for x
    x = 48,859,565,764/104,041
  6. Step 6: Final answer
    x = 469,618.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.