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Finding the Third Proportional to 69,882 and 150,843

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Solution

The third proportional to 69,882 and 150,843 is: 325,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882 : 150,843 = 150,843 : x
  2. Step 2: Convert to fraction form
    69,882/150,843 = 150,843/x
  3. Step 3: Cross multiply
    69,882x = 150,843 × 150,843
  4. Step 4: Simplify right side
    69,882x = 22,753,610,649
  5. Step 5: Solve for x
    x = 22,753,610,649/69,882
  6. Step 6: Final answer
    x = 325,600.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.