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Finding the Third Proportional to 51,093 and 76,709.25

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Solution

The third proportional to 51,093 and 76,709.25 is: 115,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093 : 76,709.25 = 76,709.25 : x
  2. Step 2: Convert to fraction form
    51,093/76,709.25 = 76,709.25/x
  3. Step 3: Cross multiply
    51,093x = 76,709.25 × 76,709.25
  4. Step 4: Simplify right side
    51,093x = 5,884,309,035.56
  5. Step 5: Solve for x
    x = 5,884,309,035.56/51,093
  6. Step 6: Final answer
    x = 115,168.60

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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.