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Finding the Third Proportional to 51,723 and 80,408.25

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Solution

The third proportional to 51,723 and 80,408.25 is: 125,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,723 : 80,408.25 = 80,408.25 : x
  2. Step 2: Convert to fraction form
    51,723/80,408.25 = 80,408.25/x
  3. Step 3: Cross multiply
    51,723x = 80,408.25 × 80,408.25
  4. Step 4: Simplify right side
    51,723x = 6,465,486,668.06
  5. Step 5: Solve for x
    x = 6,465,486,668.06/51,723
  6. Step 6: Final answer
    x = 125,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.