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Finding the Third Proportional to 91,759 and 135,932

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Solution

The third proportional to 91,759 and 135,932 is: 201,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,759 : 135,932 = 135,932 : x
  2. Step 2: Convert to fraction form
    91,759/135,932 = 135,932/x
  3. Step 3: Cross multiply
    91,759x = 135,932 × 135,932
  4. Step 4: Simplify right side
    91,759x = 18,477,508,624
  5. Step 5: Solve for x
    x = 18,477,508,624/91,759
  6. Step 6: Final answer
    x = 201,369.99

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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.