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Finding the Third Proportional to 75,996 and 174,273

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Solution

The third proportional to 75,996 and 174,273 is: 399,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,996 : 174,273 = 174,273 : x
  2. Step 2: Convert to fraction form
    75,996/174,273 = 174,273/x
  3. Step 3: Cross multiply
    75,996x = 174,273 × 174,273
  4. Step 4: Simplify right side
    75,996x = 30,371,078,529
  5. Step 5: Solve for x
    x = 30,371,078,529/75,996
  6. Step 6: Final answer
    x = 399,640.49

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.