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Finding the Third Proportional to 82,231.75 and 177,152.25

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Solution

The third proportional to 82,231.75 and 177,152.25 is: 381,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.75 : 177,152.25 = 177,152.25 : x
  2. Step 2: Convert to fraction form
    82,231.75/177,152.25 = 177,152.25/x
  3. Step 3: Cross multiply
    82,231.75x = 177,152.25 × 177,152.25
  4. Step 4: Simplify right side
    82,231.75x = 31,382,919,680.06
  5. Step 5: Solve for x
    x = 31,382,919,680.06/82,231.75
  6. Step 6: Final answer
    x = 381,639.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.