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Finding the Third Proportional to 75,213.56 and 165,190.22

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Solution

The third proportional to 75,213.56 and 165,190.22 is: 362,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213.56 : 165,190.22 = 165,190.22 : x
  2. Step 2: Convert to fraction form
    75,213.56/165,190.22 = 165,190.22/x
  3. Step 3: Cross multiply
    75,213.56x = 165,190.22 × 165,190.22
  4. Step 4: Simplify right side
    75,213.56x = 27,287,808,370.67
  5. Step 5: Solve for x
    x = 27,287,808,370.67/75,213.56
  6. Step 6: Final answer
    x = 362,804.36

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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.