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Finding the Third Proportional to 91,586 and 195,172

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Solution

The third proportional to 91,586 and 195,172 is: 415,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,586 : 195,172 = 195,172 : x
  2. Step 2: Convert to fraction form
    91,586/195,172 = 195,172/x
  3. Step 3: Cross multiply
    91,586x = 195,172 × 195,172
  4. Step 4: Simplify right side
    91,586x = 38,092,109,584
  5. Step 5: Solve for x
    x = 38,092,109,584/91,586
  6. Step 6: Final answer
    x = 415,916.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.