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Finding the Third Proportional to 110,977 and 173,906

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Solution

The third proportional to 110,977 and 173,906 is: 272,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977 : 173,906 = 173,906 : x
  2. Step 2: Convert to fraction form
    110,977/173,906 = 173,906/x
  3. Step 3: Cross multiply
    110,977x = 173,906 × 173,906
  4. Step 4: Simplify right side
    110,977x = 30,243,296,836
  5. Step 5: Solve for x
    x = 30,243,296,836/110,977
  6. Step 6: Final answer
    x = 272,518.60

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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.