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Finding the Third Proportional to 116,986 and 159,927

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Solution

The third proportional to 116,986 and 159,927 is: 218,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,986 : 159,927 = 159,927 : x
  2. Step 2: Convert to fraction form
    116,986/159,927 = 159,927/x
  3. Step 3: Cross multiply
    116,986x = 159,927 × 159,927
  4. Step 4: Simplify right side
    116,986x = 25,576,645,329
  5. Step 5: Solve for x
    x = 25,576,645,329/116,986
  6. Step 6: Final answer
    x = 218,629.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.