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Finding the Third Proportional to 51,914 and 80,540

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Solution

The third proportional to 51,914 and 80,540 is: 124,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,914 : 80,540 = 80,540 : x
  2. Step 2: Convert to fraction form
    51,914/80,540 = 80,540/x
  3. Step 3: Cross multiply
    51,914x = 80,540 × 80,540
  4. Step 4: Simplify right side
    51,914x = 6,486,691,600
  5. Step 5: Solve for x
    x = 6,486,691,600/51,914
  6. Step 6: Final answer
    x = 124,950.72

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