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Finding the Third Proportional to 75,222.75 and 165,205.50

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Solution

The third proportional to 75,222.75 and 165,205.50 is: 362,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222.75 : 165,205.50 = 165,205.50 : x
  2. Step 2: Convert to fraction form
    75,222.75/165,205.50 = 165,205.50/x
  3. Step 3: Cross multiply
    75,222.75x = 165,205.50 × 165,205.50
  4. Step 4: Simplify right side
    75,222.75x = 27,292,857,230.25
  5. Step 5: Solve for x
    x = 27,292,857,230.25/75,222.75
  6. Step 6: Final answer
    x = 362,827.17

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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.