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Finding the Third Proportional to 76,556 and 159,676

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Solution

The third proportional to 76,556 and 159,676 is: 333,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,556 : 159,676 = 159,676 : x
  2. Step 2: Convert to fraction form
    76,556/159,676 = 159,676/x
  3. Step 3: Cross multiply
    76,556x = 159,676 × 159,676
  4. Step 4: Simplify right side
    76,556x = 25,496,424,976
  5. Step 5: Solve for x
    x = 25,496,424,976/76,556
  6. Step 6: Final answer
    x = 333,042.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.