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Finding the Third Proportional to 91,743 and 135,913

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Solution

The third proportional to 91,743 and 135,913 is: 201,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,743 : 135,913 = 135,913 : x
  2. Step 2: Convert to fraction form
    91,743/135,913 = 135,913/x
  3. Step 3: Cross multiply
    91,743x = 135,913 × 135,913
  4. Step 4: Simplify right side
    91,743x = 18,472,343,569
  5. Step 5: Solve for x
    x = 18,472,343,569/91,743
  6. Step 6: Final answer
    x = 201,348.81

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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.