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Finding the Third Proportional to 82,262 and 179,631

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Solution

The third proportional to 82,262 and 179,631 is: 392,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262 : 179,631 = 179,631 : x
  2. Step 2: Convert to fraction form
    82,262/179,631 = 179,631/x
  3. Step 3: Cross multiply
    82,262x = 179,631 × 179,631
  4. Step 4: Simplify right side
    82,262x = 32,267,296,161
  5. Step 5: Solve for x
    x = 32,267,296,161/82,262
  6. Step 6: Final answer
    x = 392,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.