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Finding the Third Proportional to 75,453 and 113,189

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Solution

The third proportional to 75,453 and 113,189 is: 169,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,453 : 113,189 = 113,189 : x
  2. Step 2: Convert to fraction form
    75,453/113,189 = 113,189/x
  3. Step 3: Cross multiply
    75,453x = 113,189 × 113,189
  4. Step 4: Simplify right side
    75,453x = 12,811,749,721
  5. Step 5: Solve for x
    x = 12,811,749,721/75,453
  6. Step 6: Final answer
    x = 169,797.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.