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Finding the Third Proportional to 79,832 and 116,238

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Solution

The third proportional to 79,832 and 116,238 is: 169,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,832 : 116,238 = 116,238 : x
  2. Step 2: Convert to fraction form
    79,832/116,238 = 116,238/x
  3. Step 3: Cross multiply
    79,832x = 116,238 × 116,238
  4. Step 4: Simplify right side
    79,832x = 13,511,272,644
  5. Step 5: Solve for x
    x = 13,511,272,644/79,832
  6. Step 6: Final answer
    x = 169,246.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.