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Finding the Third Proportional to 58,110 and 123,198

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Solution

The third proportional to 58,110 and 123,198 is: 261,189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,110 : 123,198 = 123,198 : x
  2. Step 2: Convert to fraction form
    58,110/123,198 = 123,198/x
  3. Step 3: Cross multiply
    58,110x = 123,198 × 123,198
  4. Step 4: Simplify right side
    58,110x = 15,177,747,204
  5. Step 5: Solve for x
    x = 15,177,747,204/58,110
  6. Step 6: Final answer
    x = 261,189.94

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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.