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Finding the Third Proportional to 83,104 and 177,884

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Solution

The third proportional to 83,104 and 177,884 is: 380,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,104 : 177,884 = 177,884 : x
  2. Step 2: Convert to fraction form
    83,104/177,884 = 177,884/x
  3. Step 3: Cross multiply
    83,104x = 177,884 × 177,884
  4. Step 4: Simplify right side
    83,104x = 31,642,717,456
  5. Step 5: Solve for x
    x = 31,642,717,456/83,104
  6. Step 6: Final answer
    x = 380,760.46

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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.