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Finding the Third Proportional to 123,957 and 271,269

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Solution

The third proportional to 123,957 and 271,269 is: 593,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,957 : 271,269 = 271,269 : x
  2. Step 2: Convert to fraction form
    123,957/271,269 = 271,269/x
  3. Step 3: Cross multiply
    123,957x = 271,269 × 271,269
  4. Step 4: Simplify right side
    123,957x = 73,586,870,361
  5. Step 5: Solve for x
    x = 73,586,870,361/123,957
  6. Step 6: Final answer
    x = 593,648.36

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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.