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Finding the Third Proportional to 35,055 and 75,027

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Solution

The third proportional to 35,055 and 75,027 is: 160,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,055 : 75,027 = 75,027 : x
  2. Step 2: Convert to fraction form
    35,055/75,027 = 75,027/x
  3. Step 3: Cross multiply
    35,055x = 75,027 × 75,027
  4. Step 4: Simplify right side
    35,055x = 5,629,050,729
  5. Step 5: Solve for x
    x = 5,629,050,729/35,055
  6. Step 6: Final answer
    x = 160,577.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.