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Finding the Third Proportional to 57,066 and 87,825

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Solution

The third proportional to 57,066 and 87,825 is: 135,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,066 : 87,825 = 87,825 : x
  2. Step 2: Convert to fraction form
    57,066/87,825 = 87,825/x
  3. Step 3: Cross multiply
    57,066x = 87,825 × 87,825
  4. Step 4: Simplify right side
    57,066x = 7,713,230,625
  5. Step 5: Solve for x
    x = 7,713,230,625/57,066
  6. Step 6: Final answer
    x = 135,163.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.