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Finding the Third Proportional to 95,043 and 204,126

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Solution

The third proportional to 95,043 and 204,126 is: 438,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,043 : 204,126 = 204,126 : x
  2. Step 2: Convert to fraction form
    95,043/204,126 = 204,126/x
  3. Step 3: Cross multiply
    95,043x = 204,126 × 204,126
  4. Step 4: Simplify right side
    95,043x = 41,667,423,876
  5. Step 5: Solve for x
    x = 41,667,423,876/95,043
  6. Step 6: Final answer
    x = 438,406.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.