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Finding the Third Proportional to 103,687 and 204,936

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Solution

The third proportional to 103,687 and 204,936 is: 405,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687 : 204,936 = 204,936 : x
  2. Step 2: Convert to fraction form
    103,687/204,936 = 204,936/x
  3. Step 3: Cross multiply
    103,687x = 204,936 × 204,936
  4. Step 4: Simplify right side
    103,687x = 41,998,764,096
  5. Step 5: Solve for x
    x = 41,998,764,096/103,687
  6. Step 6: Final answer
    x = 405,053.32

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.