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Finding the Third Proportional to 101,844 and 181,818

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Solution

The third proportional to 101,844 and 181,818 is: 324,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,844 : 181,818 = 181,818 : x
  2. Step 2: Convert to fraction form
    101,844/181,818 = 181,818/x
  3. Step 3: Cross multiply
    101,844x = 181,818 × 181,818
  4. Step 4: Simplify right side
    101,844x = 33,057,785,124
  5. Step 5: Solve for x
    x = 33,057,785,124/101,844
  6. Step 6: Final answer
    x = 324,592.37

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.