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Finding the Third Proportional to 84,162 and 181,040

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Solution

The third proportional to 84,162 and 181,040 is: 389,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162 : 181,040 = 181,040 : x
  2. Step 2: Convert to fraction form
    84,162/181,040 = 181,040/x
  3. Step 3: Cross multiply
    84,162x = 181,040 × 181,040
  4. Step 4: Simplify right side
    84,162x = 32,775,481,600
  5. Step 5: Solve for x
    x = 32,775,481,600/84,162
  6. Step 6: Final answer
    x = 389,433.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.