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Finding the Third Proportional to 90,694.69 and 185,976

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Solution

The third proportional to 90,694.69 and 185,976 is: 381,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,694.69 : 185,976 = 185,976 : x
  2. Step 2: Convert to fraction form
    90,694.69/185,976 = 185,976/x
  3. Step 3: Cross multiply
    90,694.69x = 185,976 × 185,976
  4. Step 4: Simplify right side
    90,694.69x = 34,587,072,576
  5. Step 5: Solve for x
    x = 34,587,072,576/90,694.69
  6. Step 6: Final answer
    x = 381,357.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.