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Finding the Third Proportional to 109,831 and 164,737

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Solution

The third proportional to 109,831 and 164,737 is: 247,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831 : 164,737 = 164,737 : x
  2. Step 2: Convert to fraction form
    109,831/164,737 = 164,737/x
  3. Step 3: Cross multiply
    109,831x = 164,737 × 164,737
  4. Step 4: Simplify right side
    109,831x = 27,138,279,169
  5. Step 5: Solve for x
    x = 27,138,279,169/109,831
  6. Step 6: Final answer
    x = 247,091.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.