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Finding the Third Proportional to 111,961 and 236,561

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Solution

The third proportional to 111,961 and 236,561 is: 499,826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,961 : 236,561 = 236,561 : x
  2. Step 2: Convert to fraction form
    111,961/236,561 = 236,561/x
  3. Step 3: Cross multiply
    111,961x = 236,561 × 236,561
  4. Step 4: Simplify right side
    111,961x = 55,961,106,721
  5. Step 5: Solve for x
    x = 55,961,106,721/111,961
  6. Step 6: Final answer
    x = 499,826.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.