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Finding the Third Proportional to 122,366 and 179,121

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Solution

The third proportional to 122,366 and 179,121 is: 262,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,366 : 179,121 = 179,121 : x
  2. Step 2: Convert to fraction form
    122,366/179,121 = 179,121/x
  3. Step 3: Cross multiply
    122,366x = 179,121 × 179,121
  4. Step 4: Simplify right side
    122,366x = 32,084,332,641
  5. Step 5: Solve for x
    x = 32,084,332,641/122,366
  6. Step 6: Final answer
    x = 262,199.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.