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Finding the Third Proportional to 45,163 and 106,622

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Solution

The third proportional to 45,163 and 106,622 is: 251,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,163 : 106,622 = 106,622 : x
  2. Step 2: Convert to fraction form
    45,163/106,622 = 106,622/x
  3. Step 3: Cross multiply
    45,163x = 106,622 × 106,622
  4. Step 4: Simplify right side
    45,163x = 11,368,250,884
  5. Step 5: Solve for x
    x = 11,368,250,884/45,163
  6. Step 6: Final answer
    x = 251,716.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.