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Finding the Third Proportional to 47,954 and 102,844

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Solution

The third proportional to 47,954 and 102,844 is: 220,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954 : 102,844 = 102,844 : x
  2. Step 2: Convert to fraction form
    47,954/102,844 = 102,844/x
  3. Step 3: Cross multiply
    47,954x = 102,844 × 102,844
  4. Step 4: Simplify right side
    47,954x = 10,576,888,336
  5. Step 5: Solve for x
    x = 10,576,888,336/47,954
  6. Step 6: Final answer
    x = 220,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.