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Finding the Third Proportional to 110,880 and 173,739

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Solution

The third proportional to 110,880 and 173,739 is: 272,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,880 : 173,739 = 173,739 : x
  2. Step 2: Convert to fraction form
    110,880/173,739 = 173,739/x
  3. Step 3: Cross multiply
    110,880x = 173,739 × 173,739
  4. Step 4: Simplify right side
    110,880x = 30,185,240,121
  5. Step 5: Solve for x
    x = 30,185,240,121/110,880
  6. Step 6: Final answer
    x = 272,233.41

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Why These Related Problems?

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