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Finding the Third Proportional to 86,026 and 179,936

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Solution

The third proportional to 86,026 and 179,936 is: 376,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,026 : 179,936 = 179,936 : x
  2. Step 2: Convert to fraction form
    86,026/179,936 = 179,936/x
  3. Step 3: Cross multiply
    86,026x = 179,936 × 179,936
  4. Step 4: Simplify right side
    86,026x = 32,376,964,096
  5. Step 5: Solve for x
    x = 32,376,964,096/86,026
  6. Step 6: Final answer
    x = 376,362.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.