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Finding the Third Proportional to 122,923 and 265,529

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Solution

The third proportional to 122,923 and 265,529 is: 573,575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,923 : 265,529 = 265,529 : x
  2. Step 2: Convert to fraction form
    122,923/265,529 = 265,529/x
  3. Step 3: Cross multiply
    122,923x = 265,529 × 265,529
  4. Step 4: Simplify right side
    122,923x = 70,505,649,841
  5. Step 5: Solve for x
    x = 70,505,649,841/122,923
  6. Step 6: Final answer
    x = 573,575.73

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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.