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Finding the Third Proportional to 91,992 and 135,937.50

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Solution

The third proportional to 91,992 and 135,937.50 is: 200,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,992 : 135,937.50 = 135,937.50 : x
  2. Step 2: Convert to fraction form
    91,992/135,937.50 = 135,937.50/x
  3. Step 3: Cross multiply
    91,992x = 135,937.50 × 135,937.50
  4. Step 4: Simplify right side
    91,992x = 18,479,003,906.25
  5. Step 5: Solve for x
    x = 18,479,003,906.25/91,992
  6. Step 6: Final answer
    x = 200,876.21

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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.