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Finding the Third Proportional to 122,137 and 269,124

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Solution

The third proportional to 122,137 and 269,124 is: 593,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,137 : 269,124 = 269,124 : x
  2. Step 2: Convert to fraction form
    122,137/269,124 = 269,124/x
  3. Step 3: Cross multiply
    122,137x = 269,124 × 269,124
  4. Step 4: Simplify right side
    122,137x = 72,427,727,376
  5. Step 5: Solve for x
    x = 72,427,727,376/122,137
  6. Step 6: Final answer
    x = 593,003.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.