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Finding the Third Proportional to 30,201.29 and 68,234.12

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Solution

The third proportional to 30,201.29 and 68,234.12 is: 154,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.29 : 68,234.12 = 68,234.12 : x
  2. Step 2: Convert to fraction form
    30,201.29/68,234.12 = 68,234.12/x
  3. Step 3: Cross multiply
    30,201.29x = 68,234.12 × 68,234.12
  4. Step 4: Simplify right side
    30,201.29x = 4,655,894,481.82
  5. Step 5: Solve for x
    x = 4,655,894,481.82/30,201.29
  6. Step 6: Final answer
    x = 154,162.09

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.