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Finding the Third Proportional to 83,112 and 178,131

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Solution

The third proportional to 83,112 and 178,131 is: 381,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,112 : 178,131 = 178,131 : x
  2. Step 2: Convert to fraction form
    83,112/178,131 = 178,131/x
  3. Step 3: Cross multiply
    83,112x = 178,131 × 178,131
  4. Step 4: Simplify right side
    83,112x = 31,730,653,161
  5. Step 5: Solve for x
    x = 31,730,653,161/83,112
  6. Step 6: Final answer
    x = 381,781.85

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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.