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Finding the Third Proportional to 83,077 and 177,029

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Solution

The third proportional to 83,077 and 177,029 is: 377,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077 : 177,029 = 177,029 : x
  2. Step 2: Convert to fraction form
    83,077/177,029 = 177,029/x
  3. Step 3: Cross multiply
    83,077x = 177,029 × 177,029
  4. Step 4: Simplify right side
    83,077x = 31,339,266,841
  5. Step 5: Solve for x
    x = 31,339,266,841/83,077
  6. Step 6: Final answer
    x = 377,231.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.