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Finding the Third Proportional to 83,052 and 177,177

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Solution

The third proportional to 83,052 and 177,177 is: 377,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052 : 177,177 = 177,177 : x
  2. Step 2: Convert to fraction form
    83,052/177,177 = 177,177/x
  3. Step 3: Cross multiply
    83,052x = 177,177 × 177,177
  4. Step 4: Simplify right side
    83,052x = 31,391,689,329
  5. Step 5: Solve for x
    x = 31,391,689,329/83,052
  6. Step 6: Final answer
    x = 377,976.32

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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.