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Finding the Third Proportional to 110,812.50 and 150,666.75

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Solution

The third proportional to 110,812.50 and 150,666.75 is: 204,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,812.50 : 150,666.75 = 150,666.75 : x
  2. Step 2: Convert to fraction form
    110,812.50/150,666.75 = 150,666.75/x
  3. Step 3: Cross multiply
    110,812.50x = 150,666.75 × 150,666.75
  4. Step 4: Simplify right side
    110,812.50x = 22,700,469,555.56
  5. Step 5: Solve for x
    x = 22,700,469,555.56/110,812.50
  6. Step 6: Final answer
    x = 204,854.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.