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Finding the Third Proportional to 76,833 and 159,786

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Solution

The third proportional to 76,833 and 159,786 is: 332,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,833 : 159,786 = 159,786 : x
  2. Step 2: Convert to fraction form
    76,833/159,786 = 159,786/x
  3. Step 3: Cross multiply
    76,833x = 159,786 × 159,786
  4. Step 4: Simplify right side
    76,833x = 25,531,565,796
  5. Step 5: Solve for x
    x = 25,531,565,796/76,833
  6. Step 6: Final answer
    x = 332,299.48

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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.