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Finding the Third Proportional to 133,082 and 199,098

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Solution

The third proportional to 133,082 and 199,098 is: 297,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 199,098 = 199,098 : x
  2. Step 2: Convert to fraction form
    133,082/199,098 = 199,098/x
  3. Step 3: Cross multiply
    133,082x = 199,098 × 199,098
  4. Step 4: Simplify right side
    133,082x = 39,640,013,604
  5. Step 5: Solve for x
    x = 39,640,013,604/133,082
  6. Step 6: Final answer
    x = 297,861.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.