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Finding the Third Proportional to 78,995.25 and 171,107.44

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Solution

The third proportional to 78,995.25 and 171,107.44 is: 370,626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,995.25 : 171,107.44 = 171,107.44 : x
  2. Step 2: Convert to fraction form
    78,995.25/171,107.44 = 171,107.44/x
  3. Step 3: Cross multiply
    78,995.25x = 171,107.44 × 171,107.44
  4. Step 4: Simplify right side
    78,995.25x = 29,277,755,167.82
  5. Step 5: Solve for x
    x = 29,277,755,167.82/78,995.25
  6. Step 6: Final answer
    x = 370,626.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.