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Finding the Third Proportional to 65,832 and 106,021

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Solution

The third proportional to 65,832 and 106,021 is: 170,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,832 : 106,021 = 106,021 : x
  2. Step 2: Convert to fraction form
    65,832/106,021 = 106,021/x
  3. Step 3: Cross multiply
    65,832x = 106,021 × 106,021
  4. Step 4: Simplify right side
    65,832x = 11,240,452,441
  5. Step 5: Solve for x
    x = 11,240,452,441/65,832
  6. Step 6: Final answer
    x = 170,744.51

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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.