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Finding the Third Proportional to 82,906.75 and 177,641

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Solution

The third proportional to 82,906.75 and 177,641 is: 380,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906.75 : 177,641 = 177,641 : x
  2. Step 2: Convert to fraction form
    82,906.75/177,641 = 177,641/x
  3. Step 3: Cross multiply
    82,906.75x = 177,641 × 177,641
  4. Step 4: Simplify right side
    82,906.75x = 31,556,324,881
  5. Step 5: Solve for x
    x = 31,556,324,881/82,906.75
  6. Step 6: Final answer
    x = 380,624.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.