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Finding the Third Proportional to 72,219 and 150,999

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Solution

The third proportional to 72,219 and 150,999 is: 315,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,219 : 150,999 = 150,999 : x
  2. Step 2: Convert to fraction form
    72,219/150,999 = 150,999/x
  3. Step 3: Cross multiply
    72,219x = 150,999 × 150,999
  4. Step 4: Simplify right side
    72,219x = 22,800,698,001
  5. Step 5: Solve for x
    x = 22,800,698,001/72,219
  6. Step 6: Final answer
    x = 315,716.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.