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Finding the Third Proportional to 74,104.88 and 164,789.44

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Solution

The third proportional to 74,104.88 and 164,789.44 is: 366,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,104.88 : 164,789.44 = 164,789.44 : x
  2. Step 2: Convert to fraction form
    74,104.88/164,789.44 = 164,789.44/x
  3. Step 3: Cross multiply
    74,104.88x = 164,789.44 × 164,789.44
  4. Step 4: Simplify right side
    74,104.88x = 27,155,558,711.57
  5. Step 5: Solve for x
    x = 27,155,558,711.57/74,104.88
  6. Step 6: Final answer
    x = 366,447.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.