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Finding the Third Proportional to 76,826 and 167,116

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Solution

The third proportional to 76,826 and 167,116 is: 363,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,826 : 167,116 = 167,116 : x
  2. Step 2: Convert to fraction form
    76,826/167,116 = 167,116/x
  3. Step 3: Cross multiply
    76,826x = 167,116 × 167,116
  4. Step 4: Simplify right side
    76,826x = 27,927,757,456
  5. Step 5: Solve for x
    x = 27,927,757,456/76,826
  6. Step 6: Final answer
    x = 363,519.61

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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.