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Finding the Third Proportional to 95,006 and 200,692

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Solution

The third proportional to 95,006 and 200,692 is: 423,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,006 : 200,692 = 200,692 : x
  2. Step 2: Convert to fraction form
    95,006/200,692 = 200,692/x
  3. Step 3: Cross multiply
    95,006x = 200,692 × 200,692
  4. Step 4: Simplify right side
    95,006x = 40,277,278,864
  5. Step 5: Solve for x
    x = 40,277,278,864/95,006
  6. Step 6: Final answer
    x = 423,944.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.