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Finding the Third Proportional to 51,198.08 and 76,797.12

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Solution

The third proportional to 51,198.08 and 76,797.12 is: 115,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198.08 : 76,797.12 = 76,797.12 : x
  2. Step 2: Convert to fraction form
    51,198.08/76,797.12 = 76,797.12/x
  3. Step 3: Cross multiply
    51,198.08x = 76,797.12 × 76,797.12
  4. Step 4: Simplify right side
    51,198.08x = 5,897,797,855.16
  5. Step 5: Solve for x
    x = 5,897,797,855.16/51,198.08
  6. Step 6: Final answer
    x = 115,195.69

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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.