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Finding the Third Proportional to 107,711.06 and 150,936.75

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Solution

The third proportional to 107,711.06 and 150,936.75 is: 211,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,711.06 : 150,936.75 = 150,936.75 : x
  2. Step 2: Convert to fraction form
    107,711.06/150,936.75 = 150,936.75/x
  3. Step 3: Cross multiply
    107,711.06x = 150,936.75 × 150,936.75
  4. Step 4: Simplify right side
    107,711.06x = 22,781,902,500.56
  5. Step 5: Solve for x
    x = 22,781,902,500.56/107,711.06
  6. Step 6: Final answer
    x = 211,509.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.