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Finding the Third Proportional to 86,138 and 182,713

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Solution

The third proportional to 86,138 and 182,713 is: 387,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,138 : 182,713 = 182,713 : x
  2. Step 2: Convert to fraction form
    86,138/182,713 = 182,713/x
  3. Step 3: Cross multiply
    86,138x = 182,713 × 182,713
  4. Step 4: Simplify right side
    86,138x = 33,384,040,369
  5. Step 5: Solve for x
    x = 33,384,040,369/86,138
  6. Step 6: Final answer
    x = 387,564.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.