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Finding the Third Proportional to 45,906 and 95,936

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Solution

The third proportional to 45,906 and 95,936 is: 200,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906 : 95,936 = 95,936 : x
  2. Step 2: Convert to fraction form
    45,906/95,936 = 95,936/x
  3. Step 3: Cross multiply
    45,906x = 95,936 × 95,936
  4. Step 4: Simplify right side
    45,906x = 9,203,716,096
  5. Step 5: Solve for x
    x = 9,203,716,096/45,906
  6. Step 6: Final answer
    x = 200,490.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.