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Finding the Third Proportional to 110,839 and 171,977

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Solution

The third proportional to 110,839 and 171,977 is: 266,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,839 : 171,977 = 171,977 : x
  2. Step 2: Convert to fraction form
    110,839/171,977 = 171,977/x
  3. Step 3: Cross multiply
    110,839x = 171,977 × 171,977
  4. Step 4: Simplify right side
    110,839x = 29,576,088,529
  5. Step 5: Solve for x
    x = 29,576,088,529/110,839
  6. Step 6: Final answer
    x = 266,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.