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Finding the Third Proportional to 122,069 and 285,192

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Solution

The third proportional to 122,069 and 285,192 is: 666,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,069 : 285,192 = 285,192 : x
  2. Step 2: Convert to fraction form
    122,069/285,192 = 285,192/x
  3. Step 3: Cross multiply
    122,069x = 285,192 × 285,192
  4. Step 4: Simplify right side
    122,069x = 81,334,476,864
  5. Step 5: Solve for x
    x = 81,334,476,864/122,069
  6. Step 6: Final answer
    x = 666,299.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.