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Finding the Third Proportional to 122,771 and 182,199

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Solution

The third proportional to 122,771 and 182,199 is: 270,393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,771 : 182,199 = 182,199 : x
  2. Step 2: Convert to fraction form
    122,771/182,199 = 182,199/x
  3. Step 3: Cross multiply
    122,771x = 182,199 × 182,199
  4. Step 4: Simplify right side
    122,771x = 33,196,475,601
  5. Step 5: Solve for x
    x = 33,196,475,601/122,771
  6. Step 6: Final answer
    x = 270,393.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.