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Finding the Third Proportional to 91,760 and 135,935

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Solution

The third proportional to 91,760 and 135,935 is: 201,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,760 : 135,935 = 135,935 : x
  2. Step 2: Convert to fraction form
    91,760/135,935 = 135,935/x
  3. Step 3: Cross multiply
    91,760x = 135,935 × 135,935
  4. Step 4: Simplify right side
    91,760x = 18,478,324,225
  5. Step 5: Solve for x
    x = 18,478,324,225/91,760
  6. Step 6: Final answer
    x = 201,376.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.