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Finding the Third Proportional to 133,082 and 194,466

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Solution

The third proportional to 133,082 and 194,466 is: 284,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 194,466 = 194,466 : x
  2. Step 2: Convert to fraction form
    133,082/194,466 = 194,466/x
  3. Step 3: Cross multiply
    133,082x = 194,466 × 194,466
  4. Step 4: Simplify right side
    133,082x = 37,817,025,156
  5. Step 5: Solve for x
    x = 37,817,025,156/133,082
  6. Step 6: Final answer
    x = 284,163.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.