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Finding the Third Proportional to 80,951.06 and 171,767.25

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Solution

The third proportional to 80,951.06 and 171,767.25 is: 364,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,951.06 : 171,767.25 = 171,767.25 : x
  2. Step 2: Convert to fraction form
    80,951.06/171,767.25 = 171,767.25/x
  3. Step 3: Cross multiply
    80,951.06x = 171,767.25 × 171,767.25
  4. Step 4: Simplify right side
    80,951.06x = 29,503,988,172.56
  5. Step 5: Solve for x
    x = 29,503,988,172.56/80,951.06
  6. Step 6: Final answer
    x = 364,466.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.