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Finding the Third Proportional to 46,966 and 104,427

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Solution

The third proportional to 46,966 and 104,427 is: 232,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966 : 104,427 = 104,427 : x
  2. Step 2: Convert to fraction form
    46,966/104,427 = 104,427/x
  3. Step 3: Cross multiply
    46,966x = 104,427 × 104,427
  4. Step 4: Simplify right side
    46,966x = 10,904,998,329
  5. Step 5: Solve for x
    x = 10,904,998,329/46,966
  6. Step 6: Final answer
    x = 232,189.21

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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.