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Finding the Third Proportional to 127,992 and 180,162

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Solution

The third proportional to 127,992 and 180,162 is: 253,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,992 : 180,162 = 180,162 : x
  2. Step 2: Convert to fraction form
    127,992/180,162 = 180,162/x
  3. Step 3: Cross multiply
    127,992x = 180,162 × 180,162
  4. Step 4: Simplify right side
    127,992x = 32,458,346,244
  5. Step 5: Solve for x
    x = 32,458,346,244/127,992
  6. Step 6: Final answer
    x = 253,596.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.