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Finding the Third Proportional to 50,909 and 110,530

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Solution

The third proportional to 50,909 and 110,530 is: 239,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,909 : 110,530 = 110,530 : x
  2. Step 2: Convert to fraction form
    50,909/110,530 = 110,530/x
  3. Step 3: Cross multiply
    50,909x = 110,530 × 110,530
  4. Step 4: Simplify right side
    50,909x = 12,216,880,900
  5. Step 5: Solve for x
    x = 12,216,880,900/50,909
  6. Step 6: Final answer
    x = 239,974.87

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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.