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Finding the Third Proportional to 76,804 and 159,736

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Solution

The third proportional to 76,804 and 159,736 is: 332,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804 : 159,736 = 159,736 : x
  2. Step 2: Convert to fraction form
    76,804/159,736 = 159,736/x
  3. Step 3: Cross multiply
    76,804x = 159,736 × 159,736
  4. Step 4: Simplify right side
    76,804x = 25,515,589,696
  5. Step 5: Solve for x
    x = 25,515,589,696/76,804
  6. Step 6: Final answer
    x = 332,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.