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Finding the Third Proportional to 51,622 and 78,914

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Solution

The third proportional to 51,622 and 78,914 is: 120,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,622 : 78,914 = 78,914 : x
  2. Step 2: Convert to fraction form
    51,622/78,914 = 78,914/x
  3. Step 3: Cross multiply
    51,622x = 78,914 × 78,914
  4. Step 4: Simplify right side
    51,622x = 6,227,419,396
  5. Step 5: Solve for x
    x = 6,227,419,396/51,622
  6. Step 6: Final answer
    x = 120,634.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.