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Finding the Third Proportional to 76,802 and 159,732

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Solution

The third proportional to 76,802 and 159,732 is: 332,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,802 : 159,732 = 159,732 : x
  2. Step 2: Convert to fraction form
    76,802/159,732 = 159,732/x
  3. Step 3: Cross multiply
    76,802x = 159,732 × 159,732
  4. Step 4: Simplify right side
    76,802x = 25,514,311,824
  5. Step 5: Solve for x
    x = 25,514,311,824/76,802
  6. Step 6: Final answer
    x = 332,208.95

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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.