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Finding the Third Proportional to 110,882 and 173,741

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Solution

The third proportional to 110,882 and 173,741 is: 272,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,882 : 173,741 = 173,741 : x
  2. Step 2: Convert to fraction form
    110,882/173,741 = 173,741/x
  3. Step 3: Cross multiply
    110,882x = 173,741 × 173,741
  4. Step 4: Simplify right side
    110,882x = 30,185,935,081
  5. Step 5: Solve for x
    x = 30,185,935,081/110,882
  6. Step 6: Final answer
    x = 272,234.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.