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Finding the Third Proportional to 92,989 and 135,163.50

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Solution

The third proportional to 92,989 and 135,163.50 is: 196,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,989 : 135,163.50 = 135,163.50 : x
  2. Step 2: Convert to fraction form
    92,989/135,163.50 = 135,163.50/x
  3. Step 3: Cross multiply
    92,989x = 135,163.50 × 135,163.50
  4. Step 4: Simplify right side
    92,989x = 18,269,171,732.25
  5. Step 5: Solve for x
    x = 18,269,171,732.25/92,989
  6. Step 6: Final answer
    x = 196,465.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.