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Finding the Third Proportional to 122,710 and 267,634

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Solution

The third proportional to 122,710 and 267,634 is: 583,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,710 : 267,634 = 267,634 : x
  2. Step 2: Convert to fraction form
    122,710/267,634 = 267,634/x
  3. Step 3: Cross multiply
    122,710x = 267,634 × 267,634
  4. Step 4: Simplify right side
    122,710x = 71,627,957,956
  5. Step 5: Solve for x
    x = 71,627,957,956/122,710
  6. Step 6: Final answer
    x = 583,717.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.