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Finding the Third Proportional to 82,462 and 180,962

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Solution

The third proportional to 82,462 and 180,962 is: 397,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462 : 180,962 = 180,962 : x
  2. Step 2: Convert to fraction form
    82,462/180,962 = 180,962/x
  3. Step 3: Cross multiply
    82,462x = 180,962 × 180,962
  4. Step 4: Simplify right side
    82,462x = 32,747,245,444
  5. Step 5: Solve for x
    x = 32,747,245,444/82,462
  6. Step 6: Final answer
    x = 397,119.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.