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Finding the Third Proportional to 70,791 and 107,093.25

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Solution

The third proportional to 70,791 and 107,093.25 is: 162,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,791 : 107,093.25 = 107,093.25 : x
  2. Step 2: Convert to fraction form
    70,791/107,093.25 = 107,093.25/x
  3. Step 3: Cross multiply
    70,791x = 107,093.25 × 107,093.25
  4. Step 4: Simplify right side
    70,791x = 11,468,964,195.56
  5. Step 5: Solve for x
    x = 11,468,964,195.56/70,791
  6. Step 6: Final answer
    x = 162,011.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.