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Finding the Third Proportional to 133,161 and 201,126

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Solution

The third proportional to 133,161 and 201,126 is: 303,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,161 : 201,126 = 201,126 : x
  2. Step 2: Convert to fraction form
    133,161/201,126 = 201,126/x
  3. Step 3: Cross multiply
    133,161x = 201,126 × 201,126
  4. Step 4: Simplify right side
    133,161x = 40,451,667,876
  5. Step 5: Solve for x
    x = 40,451,667,876/133,161
  6. Step 6: Final answer
    x = 303,780.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.