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Finding the Third Proportional to 92,990 and 135,165

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Solution

The third proportional to 92,990 and 135,165 is: 196,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,990 : 135,165 = 135,165 : x
  2. Step 2: Convert to fraction form
    92,990/135,165 = 135,165/x
  3. Step 3: Cross multiply
    92,990x = 135,165 × 135,165
  4. Step 4: Simplify right side
    92,990x = 18,269,577,225
  5. Step 5: Solve for x
    x = 18,269,577,225/92,990
  6. Step 6: Final answer
    x = 196,468.19

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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.