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Finding the Third Proportional to 121,786 and 182,183

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Solution

The third proportional to 121,786 and 182,183 is: 272,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,786 : 182,183 = 182,183 : x
  2. Step 2: Convert to fraction form
    121,786/182,183 = 182,183/x
  3. Step 3: Cross multiply
    121,786x = 182,183 × 182,183
  4. Step 4: Simplify right side
    121,786x = 33,190,645,489
  5. Step 5: Solve for x
    x = 33,190,645,489/121,786
  6. Step 6: Final answer
    x = 272,532.52

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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.