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Finding the Third Proportional to 109,743 and 164,559

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Solution

The third proportional to 109,743 and 164,559 is: 246,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,743 : 164,559 = 164,559 : x
  2. Step 2: Convert to fraction form
    109,743/164,559 = 164,559/x
  3. Step 3: Cross multiply
    109,743x = 164,559 × 164,559
  4. Step 4: Simplify right side
    109,743x = 27,079,664,481
  5. Step 5: Solve for x
    x = 27,079,664,481/109,743
  6. Step 6: Final answer
    x = 246,755.28

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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.