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Finding the Third Proportional to 104,093 and 203,002

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Solution

The third proportional to 104,093 and 203,002 is: 395,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,093 : 203,002 = 203,002 : x
  2. Step 2: Convert to fraction form
    104,093/203,002 = 203,002/x
  3. Step 3: Cross multiply
    104,093x = 203,002 × 203,002
  4. Step 4: Simplify right side
    104,093x = 41,209,812,004
  5. Step 5: Solve for x
    x = 41,209,812,004/104,093
  6. Step 6: Final answer
    x = 395,894.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.