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Finding the Third Proportional to 23,197 and 50,089

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Solution

The third proportional to 23,197 and 50,089 is: 108,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197 : 50,089 = 50,089 : x
  2. Step 2: Convert to fraction form
    23,197/50,089 = 50,089/x
  3. Step 3: Cross multiply
    23,197x = 50,089 × 50,089
  4. Step 4: Simplify right side
    23,197x = 2,508,907,921
  5. Step 5: Solve for x
    x = 2,508,907,921/23,197
  6. Step 6: Final answer
    x = 108,156.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.