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Finding the Third Proportional to 122,016 and 182,772

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Solution

The third proportional to 122,016 and 182,772 is: 273,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016 : 182,772 = 182,772 : x
  2. Step 2: Convert to fraction form
    122,016/182,772 = 182,772/x
  3. Step 3: Cross multiply
    122,016x = 182,772 × 182,772
  4. Step 4: Simplify right side
    122,016x = 33,405,603,984
  5. Step 5: Solve for x
    x = 33,405,603,984/122,016
  6. Step 6: Final answer
    x = 273,780.52

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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.