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Finding the Third Proportional to 75,403.50 and 165,711

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Solution

The third proportional to 75,403.50 and 165,711 is: 364,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,403.50 : 165,711 = 165,711 : x
  2. Step 2: Convert to fraction form
    75,403.50/165,711 = 165,711/x
  3. Step 3: Cross multiply
    75,403.50x = 165,711 × 165,711
  4. Step 4: Simplify right side
    75,403.50x = 27,460,135,521
  5. Step 5: Solve for x
    x = 27,460,135,521/75,403.50
  6. Step 6: Final answer
    x = 364,175.87

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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.