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Finding the Third Proportional to 82,269 and 170,997.75

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Solution

The third proportional to 82,269 and 170,997.75 is: 355,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,269 : 170,997.75 = 170,997.75 : x
  2. Step 2: Convert to fraction form
    82,269/170,997.75 = 170,997.75/x
  3. Step 3: Cross multiply
    82,269x = 170,997.75 × 170,997.75
  4. Step 4: Simplify right side
    82,269x = 29,240,230,505.06
  5. Step 5: Solve for x
    x = 29,240,230,505.06/82,269
  6. Step 6: Final answer
    x = 355,422.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.