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Finding the Third Proportional to 43,463 and 104,669

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Solution

The third proportional to 43,463 and 104,669 is: 252,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,463 : 104,669 = 104,669 : x
  2. Step 2: Convert to fraction form
    43,463/104,669 = 104,669/x
  3. Step 3: Cross multiply
    43,463x = 104,669 × 104,669
  4. Step 4: Simplify right side
    43,463x = 10,955,599,561
  5. Step 5: Solve for x
    x = 10,955,599,561/43,463
  6. Step 6: Final answer
    x = 252,067.27

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.