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Finding the Third Proportional to 74,670 and 164,103

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Solution

The third proportional to 74,670 and 164,103 is: 360,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,670 : 164,103 = 164,103 : x
  2. Step 2: Convert to fraction form
    74,670/164,103 = 164,103/x
  3. Step 3: Cross multiply
    74,670x = 164,103 × 164,103
  4. Step 4: Simplify right side
    74,670x = 26,929,794,609
  5. Step 5: Solve for x
    x = 26,929,794,609/74,670
  6. Step 6: Final answer
    x = 360,650.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.