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Finding the Third Proportional to 68,183 and 104,655

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Solution

The third proportional to 68,183 and 104,655 is: 160,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,183 : 104,655 = 104,655 : x
  2. Step 2: Convert to fraction form
    68,183/104,655 = 104,655/x
  3. Step 3: Cross multiply
    68,183x = 104,655 × 104,655
  4. Step 4: Simplify right side
    68,183x = 10,952,669,025
  5. Step 5: Solve for x
    x = 10,952,669,025/68,183
  6. Step 6: Final answer
    x = 160,636.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.