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Finding the Third Proportional to 57,003 and 87,745.50

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Solution

The third proportional to 57,003 and 87,745.50 is: 135,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,003 : 87,745.50 = 87,745.50 : x
  2. Step 2: Convert to fraction form
    57,003/87,745.50 = 87,745.50/x
  3. Step 3: Cross multiply
    57,003x = 87,745.50 × 87,745.50
  4. Step 4: Simplify right side
    57,003x = 7,699,272,770.25
  5. Step 5: Solve for x
    x = 7,699,272,770.25/57,003
  6. Step 6: Final answer
    x = 135,067.85

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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.