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Finding the Third Proportional to 41,777 and 86,323

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Solution

The third proportional to 41,777 and 86,323 is: 178,367.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,777 : 86,323 = 86,323 : x
  2. Step 2: Convert to fraction form
    41,777/86,323 = 86,323/x
  3. Step 3: Cross multiply
    41,777x = 86,323 × 86,323
  4. Step 4: Simplify right side
    41,777x = 7,451,660,329
  5. Step 5: Solve for x
    x = 7,451,660,329/41,777
  6. Step 6: Final answer
    x = 178,367.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.