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Finding the Third Proportional to 53,081 and 106,162

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Solution

The third proportional to 53,081 and 106,162 is: 212,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081 : 106,162 = 106,162 : x
  2. Step 2: Convert to fraction form
    53,081/106,162 = 106,162/x
  3. Step 3: Cross multiply
    53,081x = 106,162 × 106,162
  4. Step 4: Simplify right side
    53,081x = 11,270,370,244
  5. Step 5: Solve for x
    x = 11,270,370,244/53,081
  6. Step 6: Final answer
    x = 212,324

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.