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Finding the Third Proportional to 76,344 and 114,165

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Solution

The third proportional to 76,344 and 114,165 is: 170,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344 : 114,165 = 114,165 : x
  2. Step 2: Convert to fraction form
    76,344/114,165 = 114,165/x
  3. Step 3: Cross multiply
    76,344x = 114,165 × 114,165
  4. Step 4: Simplify right side
    76,344x = 13,033,647,225
  5. Step 5: Solve for x
    x = 13,033,647,225/76,344
  6. Step 6: Final answer
    x = 170,722.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.