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Finding the Third Proportional to 95,966 and 203,004

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Solution

The third proportional to 95,966 and 203,004 is: 429,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,966 : 203,004 = 203,004 : x
  2. Step 2: Convert to fraction form
    95,966/203,004 = 203,004/x
  3. Step 3: Cross multiply
    95,966x = 203,004 × 203,004
  4. Step 4: Simplify right side
    95,966x = 41,210,624,016
  5. Step 5: Solve for x
    x = 41,210,624,016/95,966
  6. Step 6: Final answer
    x = 429,429.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.