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Finding the Third Proportional to 109,530 and 169,131

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Solution

The third proportional to 109,530 and 169,131 is: 261,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,530 : 169,131 = 169,131 : x
  2. Step 2: Convert to fraction form
    109,530/169,131 = 169,131/x
  3. Step 3: Cross multiply
    109,530x = 169,131 × 169,131
  4. Step 4: Simplify right side
    109,530x = 28,605,295,161
  5. Step 5: Solve for x
    x = 28,605,295,161/109,530
  6. Step 6: Final answer
    x = 261,164.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.