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Finding the Third Proportional to 45,879.75 and 101,073

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Solution

The third proportional to 45,879.75 and 101,073 is: 222,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,879.75 : 101,073 = 101,073 : x
  2. Step 2: Convert to fraction form
    45,879.75/101,073 = 101,073/x
  3. Step 3: Cross multiply
    45,879.75x = 101,073 × 101,073
  4. Step 4: Simplify right side
    45,879.75x = 10,215,751,329
  5. Step 5: Solve for x
    x = 10,215,751,329/45,879.75
  6. Step 6: Final answer
    x = 222,663.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.