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Finding the Third Proportional to 75,217 and 165,193

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Solution

The third proportional to 75,217 and 165,193 is: 362,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,217 : 165,193 = 165,193 : x
  2. Step 2: Convert to fraction form
    75,217/165,193 = 165,193/x
  3. Step 3: Cross multiply
    75,217x = 165,193 × 165,193
  4. Step 4: Simplify right side
    75,217x = 27,288,727,249
  5. Step 5: Solve for x
    x = 27,288,727,249/75,217
  6. Step 6: Final answer
    x = 362,800.00

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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.