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Finding the Third Proportional to 86,823 and 131,166

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Solution

The third proportional to 86,823 and 131,166 is: 198,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,823 : 131,166 = 131,166 : x
  2. Step 2: Convert to fraction form
    86,823/131,166 = 131,166/x
  3. Step 3: Cross multiply
    86,823x = 131,166 × 131,166
  4. Step 4: Simplify right side
    86,823x = 17,204,519,556
  5. Step 5: Solve for x
    x = 17,204,519,556/86,823
  6. Step 6: Final answer
    x = 198,156.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.