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Finding the Third Proportional to 69,028.31 and 166,249.13

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Solution

The third proportional to 69,028.31 and 166,249.13 is: 400,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,028.31 : 166,249.13 = 166,249.13 : x
  2. Step 2: Convert to fraction form
    69,028.31/166,249.13 = 166,249.13/x
  3. Step 3: Cross multiply
    69,028.31x = 166,249.13 × 166,249.13
  4. Step 4: Simplify right side
    69,028.31x = 27,638,771,563.27
  5. Step 5: Solve for x
    x = 27,638,771,563.27/69,028.31
  6. Step 6: Final answer
    x = 400,397.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.