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Finding the Third Proportional to 49,610 and 107,977

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Solution

The third proportional to 49,610 and 107,977 is: 235,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,610 : 107,977 = 107,977 : x
  2. Step 2: Convert to fraction form
    49,610/107,977 = 107,977/x
  3. Step 3: Cross multiply
    49,610x = 107,977 × 107,977
  4. Step 4: Simplify right side
    49,610x = 11,659,032,529
  5. Step 5: Solve for x
    x = 11,659,032,529/49,610
  6. Step 6: Final answer
    x = 235,013.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.