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Finding the Third Proportional to 82,344 and 125,619

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Solution

The third proportional to 82,344 and 125,619 is: 191,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344 : 125,619 = 125,619 : x
  2. Step 2: Convert to fraction form
    82,344/125,619 = 125,619/x
  3. Step 3: Cross multiply
    82,344x = 125,619 × 125,619
  4. Step 4: Simplify right side
    82,344x = 15,780,133,161
  5. Step 5: Solve for x
    x = 15,780,133,161/82,344
  6. Step 6: Final answer
    x = 191,636.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.