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Finding the Third Proportional to 82,796 and 131,161

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Solution

The third proportional to 82,796 and 131,161 is: 207,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,796 : 131,161 = 131,161 : x
  2. Step 2: Convert to fraction form
    82,796/131,161 = 131,161/x
  3. Step 3: Cross multiply
    82,796x = 131,161 × 131,161
  4. Step 4: Simplify right side
    82,796x = 17,203,207,921
  5. Step 5: Solve for x
    x = 17,203,207,921/82,796
  6. Step 6: Final answer
    x = 207,778.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.