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Finding the Third Proportional to 83,106 and 178,119

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Solution

The third proportional to 83,106 and 178,119 is: 381,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106 : 178,119 = 178,119 : x
  2. Step 2: Convert to fraction form
    83,106/178,119 = 178,119/x
  3. Step 3: Cross multiply
    83,106x = 178,119 × 178,119
  4. Step 4: Simplify right side
    83,106x = 31,726,378,161
  5. Step 5: Solve for x
    x = 31,726,378,161/83,106
  6. Step 6: Final answer
    x = 381,757.97

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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.