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Finding the Third Proportional to 122,102 and 263,961

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Solution

The third proportional to 122,102 and 263,961 is: 570,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,102 : 263,961 = 263,961 : x
  2. Step 2: Convert to fraction form
    122,102/263,961 = 263,961/x
  3. Step 3: Cross multiply
    122,102x = 263,961 × 263,961
  4. Step 4: Simplify right side
    122,102x = 69,675,409,521
  5. Step 5: Solve for x
    x = 69,675,409,521/122,102
  6. Step 6: Final answer
    x = 570,632.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.