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Finding the Third Proportional to 85,756 and 183,818

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Solution

The third proportional to 85,756 and 183,818 is: 394,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,756 : 183,818 = 183,818 : x
  2. Step 2: Convert to fraction form
    85,756/183,818 = 183,818/x
  3. Step 3: Cross multiply
    85,756x = 183,818 × 183,818
  4. Step 4: Simplify right side
    85,756x = 33,789,057,124
  5. Step 5: Solve for x
    x = 33,789,057,124/85,756
  6. Step 6: Final answer
    x = 394,013.91

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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.