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Finding the Third Proportional to 77,964.25 and 164,078.75

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Solution

The third proportional to 77,964.25 and 164,078.75 is: 345,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964.25 : 164,078.75 = 164,078.75 : x
  2. Step 2: Convert to fraction form
    77,964.25/164,078.75 = 164,078.75/x
  3. Step 3: Cross multiply
    77,964.25x = 164,078.75 × 164,078.75
  4. Step 4: Simplify right side
    77,964.25x = 26,921,836,201.56
  5. Step 5: Solve for x
    x = 26,921,836,201.56/77,964.25
  6. Step 6: Final answer
    x = 345,310.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.