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Finding the Third Proportional to 36,956 and 89,099

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Solution

The third proportional to 36,956 and 89,099 is: 214,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956 : 89,099 = 89,099 : x
  2. Step 2: Convert to fraction form
    36,956/89,099 = 89,099/x
  3. Step 3: Cross multiply
    36,956x = 89,099 × 89,099
  4. Step 4: Simplify right side
    36,956x = 7,938,631,801
  5. Step 5: Solve for x
    x = 7,938,631,801/36,956
  6. Step 6: Final answer
    x = 214,813.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.