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Finding the Third Proportional to 83,104 and 177,866

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Solution

The third proportional to 83,104 and 177,866 is: 380,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104 : 177,866 = 177,866 : x
  2. Step 2: Convert to fraction form
    83,104/177,866 = 177,866/x
  3. Step 3: Cross multiply
    83,104x = 177,866 × 177,866
  4. Step 4: Simplify right side
    83,104x = 31,636,313,956
  5. Step 5: Solve for x
    x = 31,636,313,956/83,104
  6. Step 6: Final answer
    x = 380,683.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.