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Finding the Third Proportional to 49,664 and 107,104

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Solution

The third proportional to 49,664 and 107,104 is: 230,977.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,664 : 107,104 = 107,104 : x
  2. Step 2: Convert to fraction form
    49,664/107,104 = 107,104/x
  3. Step 3: Cross multiply
    49,664x = 107,104 × 107,104
  4. Step 4: Simplify right side
    49,664x = 11,471,266,816
  5. Step 5: Solve for x
    x = 11,471,266,816/49,664
  6. Step 6: Final answer
    x = 230,977.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.