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Finding the Third Proportional to 91,734.75 and 135,901.13

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Solution

The third proportional to 91,734.75 and 135,901.13 is: 201,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,734.75 : 135,901.13 = 135,901.13 : x
  2. Step 2: Convert to fraction form
    91,734.75/135,901.13 = 135,901.13/x
  3. Step 3: Cross multiply
    91,734.75x = 135,901.13 × 135,901.13
  4. Step 4: Simplify right side
    91,734.75x = 18,469,115,776.27
  5. Step 5: Solve for x
    x = 18,469,115,776.27/91,734.75
  6. Step 6: Final answer
    x = 201,331.73

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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.