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Finding the Third Proportional to 85,161.38 and 179,144.16

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Solution

The third proportional to 85,161.38 and 179,144.16 is: 376,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,161.38 : 179,144.16 = 179,144.16 : x
  2. Step 2: Convert to fraction form
    85,161.38/179,144.16 = 179,144.16/x
  3. Step 3: Cross multiply
    85,161.38x = 179,144.16 × 179,144.16
  4. Step 4: Simplify right side
    85,161.38x = 32,092,628,718.52
  5. Step 5: Solve for x
    x = 32,092,628,718.52/85,161.38
  6. Step 6: Final answer
    x = 376,844.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.