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Finding the Third Proportional to 123,960 and 271,275

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Solution

The third proportional to 123,960 and 271,275 is: 593,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,960 : 271,275 = 271,275 : x
  2. Step 2: Convert to fraction form
    123,960/271,275 = 271,275/x
  3. Step 3: Cross multiply
    123,960x = 271,275 × 271,275
  4. Step 4: Simplify right side
    123,960x = 73,590,125,625
  5. Step 5: Solve for x
    x = 73,590,125,625/123,960
  6. Step 6: Final answer
    x = 593,660.26

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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.