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Finding the Third Proportional to 82,269 and 179,610.75

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Solution

The third proportional to 82,269 and 179,610.75 is: 392,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,269 : 179,610.75 = 179,610.75 : x
  2. Step 2: Convert to fraction form
    82,269/179,610.75 = 179,610.75/x
  3. Step 3: Cross multiply
    82,269x = 179,610.75 × 179,610.75
  4. Step 4: Simplify right side
    82,269x = 32,260,021,515.56
  5. Step 5: Solve for x
    x = 32,260,021,515.56/82,269
  6. Step 6: Final answer
    x = 392,128.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.