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Finding the Third Proportional to 85,177 and 179,181

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Solution

The third proportional to 85,177 and 179,181 is: 376,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,177 : 179,181 = 179,181 : x
  2. Step 2: Convert to fraction form
    85,177/179,181 = 179,181/x
  3. Step 3: Cross multiply
    85,177x = 179,181 × 179,181
  4. Step 4: Simplify right side
    85,177x = 32,105,830,761
  5. Step 5: Solve for x
    x = 32,105,830,761/85,177
  6. Step 6: Final answer
    x = 376,930.75

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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.