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Finding the Third Proportional to 45,112 and 96,874

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Solution

The third proportional to 45,112 and 96,874 is: 208,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,112 : 96,874 = 96,874 : x
  2. Step 2: Convert to fraction form
    45,112/96,874 = 96,874/x
  3. Step 3: Cross multiply
    45,112x = 96,874 × 96,874
  4. Step 4: Simplify right side
    45,112x = 9,384,571,876
  5. Step 5: Solve for x
    x = 9,384,571,876/45,112
  6. Step 6: Final answer
    x = 208,028.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.