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Finding the Third Proportional to 78,180.75 and 162,974.25

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Solution

The third proportional to 78,180.75 and 162,974.25 is: 339,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,180.75 : 162,974.25 = 162,974.25 : x
  2. Step 2: Convert to fraction form
    78,180.75/162,974.25 = 162,974.25/x
  3. Step 3: Cross multiply
    78,180.75x = 162,974.25 × 162,974.25
  4. Step 4: Simplify right side
    78,180.75x = 26,560,606,163.06
  5. Step 5: Solve for x
    x = 26,560,606,163.06/78,180.75
  6. Step 6: Final answer
    x = 339,733.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.