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Finding the Third Proportional to 75,213.75 and 165,189.56

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Solution

The third proportional to 75,213.75 and 165,189.56 is: 362,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213.75 : 165,189.56 = 165,189.56 : x
  2. Step 2: Convert to fraction form
    75,213.75/165,189.56 = 165,189.56/x
  3. Step 3: Cross multiply
    75,213.75x = 165,189.56 × 165,189.56
  4. Step 4: Simplify right side
    75,213.75x = 27,287,591,558.94
  5. Step 5: Solve for x
    x = 27,287,591,558.94/75,213.75
  6. Step 6: Final answer
    x = 362,800.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.