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Finding the Third Proportional to 41,936 and 90,508

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Solution

The third proportional to 41,936 and 90,508 is: 195,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,936 : 90,508 = 90,508 : x
  2. Step 2: Convert to fraction form
    41,936/90,508 = 90,508/x
  3. Step 3: Cross multiply
    41,936x = 90,508 × 90,508
  4. Step 4: Simplify right side
    41,936x = 8,191,698,064
  5. Step 5: Solve for x
    x = 8,191,698,064/41,936
  6. Step 6: Final answer
    x = 195,338.09

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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.