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Finding the Third Proportional to 123,961 and 271,277

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Solution

The third proportional to 123,961 and 271,277 is: 593,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,961 : 271,277 = 271,277 : x
  2. Step 2: Convert to fraction form
    123,961/271,277 = 271,277/x
  3. Step 3: Cross multiply
    123,961x = 271,277 × 271,277
  4. Step 4: Simplify right side
    123,961x = 73,591,210,729
  5. Step 5: Solve for x
    x = 73,591,210,729/123,961
  6. Step 6: Final answer
    x = 593,664.22

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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.