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Finding the Third Proportional to 81,044 and 176,273

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Solution

The third proportional to 81,044 and 176,273 is: 383,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,044 : 176,273 = 176,273 : x
  2. Step 2: Convert to fraction form
    81,044/176,273 = 176,273/x
  3. Step 3: Cross multiply
    81,044x = 176,273 × 176,273
  4. Step 4: Simplify right side
    81,044x = 31,072,170,529
  5. Step 5: Solve for x
    x = 31,072,170,529/81,044
  6. Step 6: Final answer
    x = 383,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.