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Finding the Third Proportional to 102,067 and 204,543

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Solution

The third proportional to 102,067 and 204,543 is: 409,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,067 : 204,543 = 204,543 : x
  2. Step 2: Convert to fraction form
    102,067/204,543 = 204,543/x
  3. Step 3: Cross multiply
    102,067x = 204,543 × 204,543
  4. Step 4: Simplify right side
    102,067x = 41,837,838,849
  5. Step 5: Solve for x
    x = 41,837,838,849/102,067
  6. Step 6: Final answer
    x = 409,905.64

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.