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Finding the Third Proportional to 75,212.25 and 165,184.50

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Solution

The third proportional to 75,212.25 and 165,184.50 is: 362,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.25 : 165,184.50 = 165,184.50 : x
  2. Step 2: Convert to fraction form
    75,212.25/165,184.50 = 165,184.50/x
  3. Step 3: Cross multiply
    75,212.25x = 165,184.50 × 165,184.50
  4. Step 4: Simplify right side
    75,212.25x = 27,285,919,040.25
  5. Step 5: Solve for x
    x = 27,285,919,040.25/75,212.25
  6. Step 6: Final answer
    x = 362,785.57

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