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Finding the Third Proportional to 35,909 and 76,193

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Solution

The third proportional to 35,909 and 76,193 is: 161,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,909 : 76,193 = 76,193 : x
  2. Step 2: Convert to fraction form
    35,909/76,193 = 76,193/x
  3. Step 3: Cross multiply
    35,909x = 76,193 × 76,193
  4. Step 4: Simplify right side
    35,909x = 5,805,373,249
  5. Step 5: Solve for x
    x = 5,805,373,249/35,909
  6. Step 6: Final answer
    x = 161,669.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.