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Finding the Third Proportional to 76,481.06 and 164,033.44

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Solution

The third proportional to 76,481.06 and 164,033.44 is: 351,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,481.06 : 164,033.44 = 164,033.44 : x
  2. Step 2: Convert to fraction form
    76,481.06/164,033.44 = 164,033.44/x
  3. Step 3: Cross multiply
    76,481.06x = 164,033.44 × 164,033.44
  4. Step 4: Simplify right side
    76,481.06x = 26,906,968,618.07
  5. Step 5: Solve for x
    x = 26,906,968,618.07/76,481.06
  6. Step 6: Final answer
    x = 351,812.17

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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.