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Finding the Third Proportional to 90,892 and 190,135

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Solution

The third proportional to 90,892 and 190,135 is: 397,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,892 : 190,135 = 190,135 : x
  2. Step 2: Convert to fraction form
    90,892/190,135 = 190,135/x
  3. Step 3: Cross multiply
    90,892x = 190,135 × 190,135
  4. Step 4: Simplify right side
    90,892x = 36,151,318,225
  5. Step 5: Solve for x
    x = 36,151,318,225/90,892
  6. Step 6: Final answer
    x = 397,739.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.