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Finding the Third Proportional to 82,100.75 and 177,019.75

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Solution

The third proportional to 82,100.75 and 177,019.75 is: 381,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100.75 : 177,019.75 = 177,019.75 : x
  2. Step 2: Convert to fraction form
    82,100.75/177,019.75 = 177,019.75/x
  3. Step 3: Cross multiply
    82,100.75x = 177,019.75 × 177,019.75
  4. Step 4: Simplify right side
    82,100.75x = 31,335,991,890.06
  5. Step 5: Solve for x
    x = 31,335,991,890.06/82,100.75
  6. Step 6: Final answer
    x = 381,677.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.