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Finding the Third Proportional to 76,701.94 and 164,789.44

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Solution

The third proportional to 76,701.94 and 164,789.44 is: 354,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,701.94 : 164,789.44 = 164,789.44 : x
  2. Step 2: Convert to fraction form
    76,701.94/164,789.44 = 164,789.44/x
  3. Step 3: Cross multiply
    76,701.94x = 164,789.44 × 164,789.44
  4. Step 4: Simplify right side
    76,701.94x = 27,155,558,711.57
  5. Step 5: Solve for x
    x = 27,155,558,711.57/76,701.94
  6. Step 6: Final answer
    x = 354,040.06

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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.