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Finding the Third Proportional to 122,295 and 182,879

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Solution

The third proportional to 122,295 and 182,879 is: 273,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,295 : 182,879 = 182,879 : x
  2. Step 2: Convert to fraction form
    122,295/182,879 = 182,879/x
  3. Step 3: Cross multiply
    122,295x = 182,879 × 182,879
  4. Step 4: Simplify right side
    122,295x = 33,444,728,641
  5. Step 5: Solve for x
    x = 33,444,728,641/122,295
  6. Step 6: Final answer
    x = 273,475.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.