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Finding the Third Proportional to 104,067 and 213,373

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Solution

The third proportional to 104,067 and 213,373 is: 437,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,067 : 213,373 = 213,373 : x
  2. Step 2: Convert to fraction form
    104,067/213,373 = 213,373/x
  3. Step 3: Cross multiply
    104,067x = 213,373 × 213,373
  4. Step 4: Simplify right side
    104,067x = 45,528,037,129
  5. Step 5: Solve for x
    x = 45,528,037,129/104,067
  6. Step 6: Final answer
    x = 437,487.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.