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Finding the Third Proportional to 81,886 and 177,596

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Solution

The third proportional to 81,886 and 177,596 is: 385,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886 : 177,596 = 177,596 : x
  2. Step 2: Convert to fraction form
    81,886/177,596 = 177,596/x
  3. Step 3: Cross multiply
    81,886x = 177,596 × 177,596
  4. Step 4: Simplify right side
    81,886x = 31,540,339,216
  5. Step 5: Solve for x
    x = 31,540,339,216/81,886
  6. Step 6: Final answer
    x = 385,173.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.