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Finding the Third Proportional to 50,969 and 111,631

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Solution

The third proportional to 50,969 and 111,631 is: 244,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,969 : 111,631 = 111,631 : x
  2. Step 2: Convert to fraction form
    50,969/111,631 = 111,631/x
  3. Step 3: Cross multiply
    50,969x = 111,631 × 111,631
  4. Step 4: Simplify right side
    50,969x = 12,461,480,161
  5. Step 5: Solve for x
    x = 12,461,480,161/50,969
  6. Step 6: Final answer
    x = 244,491.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.