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Finding the Third Proportional to 69,886 and 150,836

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Solution

The third proportional to 69,886 and 150,836 is: 325,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,886 : 150,836 = 150,836 : x
  2. Step 2: Convert to fraction form
    69,886/150,836 = 150,836/x
  3. Step 3: Cross multiply
    69,886x = 150,836 × 150,836
  4. Step 4: Simplify right side
    69,886x = 22,751,498,896
  5. Step 5: Solve for x
    x = 22,751,498,896/69,886
  6. Step 6: Final answer
    x = 325,551.60

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Why These Related Problems?

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