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Finding the Third Proportional to 23,073 and 50,149

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Solution

The third proportional to 23,073 and 50,149 is: 108,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073 : 50,149 = 50,149 : x
  2. Step 2: Convert to fraction form
    23,073/50,149 = 50,149/x
  3. Step 3: Cross multiply
    23,073x = 50,149 × 50,149
  4. Step 4: Simplify right side
    23,073x = 2,514,922,201
  5. Step 5: Solve for x
    x = 2,514,922,201/23,073
  6. Step 6: Final answer
    x = 108,998.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.