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Finding the Third Proportional to 51,708 and 111,669

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Solution

The third proportional to 51,708 and 111,669 is: 241,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,708 : 111,669 = 111,669 : x
  2. Step 2: Convert to fraction form
    51,708/111,669 = 111,669/x
  3. Step 3: Cross multiply
    51,708x = 111,669 × 111,669
  4. Step 4: Simplify right side
    51,708x = 12,469,965,561
  5. Step 5: Solve for x
    x = 12,469,965,561/51,708
  6. Step 6: Final answer
    x = 241,161.24

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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.