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Finding the Third Proportional to 51,162.50 and 104,860.75

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Solution

The third proportional to 51,162.50 and 104,860.75 is: 214,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.50 : 104,860.75 = 104,860.75 : x
  2. Step 2: Convert to fraction form
    51,162.50/104,860.75 = 104,860.75/x
  3. Step 3: Cross multiply
    51,162.50x = 104,860.75 × 104,860.75
  4. Step 4: Simplify right side
    51,162.50x = 10,995,776,890.56
  5. Step 5: Solve for x
    x = 10,995,776,890.56/51,162.50
  6. Step 6: Final answer
    x = 214,918.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.