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Finding the Third Proportional to 49,906 and 75,379

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Solution

The third proportional to 49,906 and 75,379 is: 113,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906 : 75,379 = 75,379 : x
  2. Step 2: Convert to fraction form
    49,906/75,379 = 75,379/x
  3. Step 3: Cross multiply
    49,906x = 75,379 × 75,379
  4. Step 4: Simplify right side
    49,906x = 5,681,993,641
  5. Step 5: Solve for x
    x = 5,681,993,641/49,906
  6. Step 6: Final answer
    x = 113,853.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.