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Finding the Third Proportional to 52,408.13 and 80,651.25

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Solution

The third proportional to 52,408.13 and 80,651.25 is: 124,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.13 : 80,651.25 = 80,651.25 : x
  2. Step 2: Convert to fraction form
    52,408.13/80,651.25 = 80,651.25/x
  3. Step 3: Cross multiply
    52,408.13x = 80,651.25 × 80,651.25
  4. Step 4: Simplify right side
    52,408.13x = 6,504,624,126.56
  5. Step 5: Solve for x
    x = 6,504,624,126.56/52,408.13
  6. Step 6: Final answer
    x = 124,114.80

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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.