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Finding the Third Proportional to 123,959 and 271,273

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Solution

The third proportional to 123,959 and 271,273 is: 593,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,959 : 271,273 = 271,273 : x
  2. Step 2: Convert to fraction form
    123,959/271,273 = 271,273/x
  3. Step 3: Cross multiply
    123,959x = 271,273 × 271,273
  4. Step 4: Simplify right side
    123,959x = 73,589,040,529
  5. Step 5: Solve for x
    x = 73,589,040,529/123,959
  6. Step 6: Final answer
    x = 593,656.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.