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Finding the Third Proportional to 111,013 and 239,762

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Solution

The third proportional to 111,013 and 239,762 is: 517,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,013 : 239,762 = 239,762 : x
  2. Step 2: Convert to fraction form
    111,013/239,762 = 239,762/x
  3. Step 3: Cross multiply
    111,013x = 239,762 × 239,762
  4. Step 4: Simplify right side
    111,013x = 57,485,816,644
  5. Step 5: Solve for x
    x = 57,485,816,644/111,013
  6. Step 6: Final answer
    x = 517,829.59

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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.