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Finding the Third Proportional to 91,741 and 135,910

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Solution

The third proportional to 91,741 and 135,910 is: 201,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,741 : 135,910 = 135,910 : x
  2. Step 2: Convert to fraction form
    91,741/135,910 = 135,910/x
  3. Step 3: Cross multiply
    91,741x = 135,910 × 135,910
  4. Step 4: Simplify right side
    91,741x = 18,471,528,100
  5. Step 5: Solve for x
    x = 18,471,528,100/91,741
  6. Step 6: Final answer
    x = 201,344.31

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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.