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Finding the Third Proportional to 80,545 and 181,977

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Solution

The third proportional to 80,545 and 181,977 is: 411,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,545 : 181,977 = 181,977 : x
  2. Step 2: Convert to fraction form
    80,545/181,977 = 181,977/x
  3. Step 3: Cross multiply
    80,545x = 181,977 × 181,977
  4. Step 4: Simplify right side
    80,545x = 33,115,628,529
  5. Step 5: Solve for x
    x = 33,115,628,529/80,545
  6. Step 6: Final answer
    x = 411,144.44

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.