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Finding the Third Proportional to 53,469 and 80,408

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Solution

The third proportional to 53,469 and 80,408 is: 120,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,469 : 80,408 = 80,408 : x
  2. Step 2: Convert to fraction form
    53,469/80,408 = 80,408/x
  3. Step 3: Cross multiply
    53,469x = 80,408 × 80,408
  4. Step 4: Simplify right side
    53,469x = 6,465,446,464
  5. Step 5: Solve for x
    x = 6,465,446,464/53,469
  6. Step 6: Final answer
    x = 120,919.53

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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.