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Finding the Third Proportional to 89,194 and 138,183

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Solution

The third proportional to 89,194 and 138,183 is: 214,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,194 : 138,183 = 138,183 : x
  2. Step 2: Convert to fraction form
    89,194/138,183 = 138,183/x
  3. Step 3: Cross multiply
    89,194x = 138,183 × 138,183
  4. Step 4: Simplify right side
    89,194x = 19,094,541,489
  5. Step 5: Solve for x
    x = 19,094,541,489/89,194
  6. Step 6: Final answer
    x = 214,078.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.