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Finding the Third Proportional to 150,011 and 202,067

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Solution

The third proportional to 150,011 and 202,067 is: 272,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,011 : 202,067 = 202,067 : x
  2. Step 2: Convert to fraction form
    150,011/202,067 = 202,067/x
  3. Step 3: Cross multiply
    150,011x = 202,067 × 202,067
  4. Step 4: Simplify right side
    150,011x = 40,831,072,489
  5. Step 5: Solve for x
    x = 40,831,072,489/150,011
  6. Step 6: Final answer
    x = 272,187.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.