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Finding the Third Proportional to 45,954 and 95,796

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Solution

The third proportional to 45,954 and 95,796 is: 199,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,954 : 95,796 = 95,796 : x
  2. Step 2: Convert to fraction form
    45,954/95,796 = 95,796/x
  3. Step 3: Cross multiply
    45,954x = 95,796 × 95,796
  4. Step 4: Simplify right side
    45,954x = 9,176,873,616
  5. Step 5: Solve for x
    x = 9,176,873,616/45,954
  6. Step 6: Final answer
    x = 199,696.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.