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Finding the Third Proportional to 49,341 and 106,983

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Solution

The third proportional to 49,341 and 106,983 is: 231,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 106,983 = 106,983 : x
  2. Step 2: Convert to fraction form
    49,341/106,983 = 106,983/x
  3. Step 3: Cross multiply
    49,341x = 106,983 × 106,983
  4. Step 4: Simplify right side
    49,341x = 11,445,362,289
  5. Step 5: Solve for x
    x = 11,445,362,289/49,341
  6. Step 6: Final answer
    x = 231,964.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.