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Finding the Third Proportional to 76,932 and 159,979

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Solution

The third proportional to 76,932 and 159,979 is: 332,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 159,979 = 159,979 : x
  2. Step 2: Convert to fraction form
    76,932/159,979 = 159,979/x
  3. Step 3: Cross multiply
    76,932x = 159,979 × 159,979
  4. Step 4: Simplify right side
    76,932x = 25,593,280,441
  5. Step 5: Solve for x
    x = 25,593,280,441/76,932
  6. Step 6: Final answer
    x = 332,674.06

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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.