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Finding the Third Proportional to 81,196 and 177,110

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Solution

The third proportional to 81,196 and 177,110 is: 386,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,196 : 177,110 = 177,110 : x
  2. Step 2: Convert to fraction form
    81,196/177,110 = 177,110/x
  3. Step 3: Cross multiply
    81,196x = 177,110 × 177,110
  4. Step 4: Simplify right side
    81,196x = 31,367,952,100
  5. Step 5: Solve for x
    x = 31,367,952,100/81,196
  6. Step 6: Final answer
    x = 386,323.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.