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Finding the Third Proportional to 66,082 and 106,401

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Solution

The third proportional to 66,082 and 106,401 is: 171,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,082 : 106,401 = 106,401 : x
  2. Step 2: Convert to fraction form
    66,082/106,401 = 106,401/x
  3. Step 3: Cross multiply
    66,082x = 106,401 × 106,401
  4. Step 4: Simplify right side
    66,082x = 11,321,172,801
  5. Step 5: Solve for x
    x = 11,321,172,801/66,082
  6. Step 6: Final answer
    x = 171,320.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.