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Finding the Third Proportional to 66,084 and 106,404

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Solution

The third proportional to 66,084 and 106,404 is: 171,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084 : 106,404 = 106,404 : x
  2. Step 2: Convert to fraction form
    66,084/106,404 = 106,404/x
  3. Step 3: Cross multiply
    66,084x = 106,404 × 106,404
  4. Step 4: Simplify right side
    66,084x = 11,321,811,216
  5. Step 5: Solve for x
    x = 11,321,811,216/66,084
  6. Step 6: Final answer
    x = 171,324.54

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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.