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Finding the Third Proportional to 58,500 and 126,198

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Solution

The third proportional to 58,500 and 126,198 is: 272,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 126,198 = 126,198 : x
  2. Step 2: Convert to fraction form
    58,500/126,198 = 126,198/x
  3. Step 3: Cross multiply
    58,500x = 126,198 × 126,198
  4. Step 4: Simplify right side
    58,500x = 15,925,935,204
  5. Step 5: Solve for x
    x = 15,925,935,204/58,500
  6. Step 6: Final answer
    x = 272,238.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.