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Finding the Third Proportional to 35,101 and 76,198

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Solution

The third proportional to 35,101 and 76,198 is: 165,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101 : 76,198 = 76,198 : x
  2. Step 2: Convert to fraction form
    35,101/76,198 = 76,198/x
  3. Step 3: Cross multiply
    35,101x = 76,198 × 76,198
  4. Step 4: Simplify right side
    35,101x = 5,806,135,204
  5. Step 5: Solve for x
    x = 5,806,135,204/35,101
  6. Step 6: Final answer
    x = 165,412.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.