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Finding the Third Proportional to 72,939 and 150,933

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Solution

The third proportional to 72,939 and 150,933 is: 312,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,939 : 150,933 = 150,933 : x
  2. Step 2: Convert to fraction form
    72,939/150,933 = 150,933/x
  3. Step 3: Cross multiply
    72,939x = 150,933 × 150,933
  4. Step 4: Simplify right side
    72,939x = 22,780,770,489
  5. Step 5: Solve for x
    x = 22,780,770,489/72,939
  6. Step 6: Final answer
    x = 312,326.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.