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Finding the Third Proportional to 91,190 and 133,635

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Solution

The third proportional to 91,190 and 133,635 is: 195,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,190 : 133,635 = 133,635 : x
  2. Step 2: Convert to fraction form
    91,190/133,635 = 133,635/x
  3. Step 3: Cross multiply
    91,190x = 133,635 × 133,635
  4. Step 4: Simplify right side
    91,190x = 17,858,313,225
  5. Step 5: Solve for x
    x = 17,858,313,225/91,190
  6. Step 6: Final answer
    x = 195,836.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.