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Finding the Third Proportional to 122,094 and 261,711

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Solution

The third proportional to 122,094 and 261,711 is: 560,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094 : 261,711 = 261,711 : x
  2. Step 2: Convert to fraction form
    122,094/261,711 = 261,711/x
  3. Step 3: Cross multiply
    122,094x = 261,711 × 261,711
  4. Step 4: Simplify right side
    122,094x = 68,492,647,521
  5. Step 5: Solve for x
    x = 68,492,647,521/122,094
  6. Step 6: Final answer
    x = 560,982.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.