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Finding the Third Proportional to 49,198 and 73,807

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Solution

The third proportional to 49,198 and 73,807 is: 110,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198 : 73,807 = 73,807 : x
  2. Step 2: Convert to fraction form
    49,198/73,807 = 73,807/x
  3. Step 3: Cross multiply
    49,198x = 73,807 × 73,807
  4. Step 4: Simplify right side
    49,198x = 5,447,473,249
  5. Step 5: Solve for x
    x = 5,447,473,249/49,198
  6. Step 6: Final answer
    x = 110,725.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.