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Finding the Third Proportional to 123,560 and 271,177

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Solution

The third proportional to 123,560 and 271,177 is: 595,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,560 : 271,177 = 271,177 : x
  2. Step 2: Convert to fraction form
    123,560/271,177 = 271,177/x
  3. Step 3: Cross multiply
    123,560x = 271,177 × 271,177
  4. Step 4: Simplify right side
    123,560x = 73,536,965,329
  5. Step 5: Solve for x
    x = 73,536,965,329/123,560
  6. Step 6: Final answer
    x = 595,151.87

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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.