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Finding the Third Proportional to 49,198 and 75,970

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Solution

The third proportional to 49,198 and 75,970 is: 117,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,198 : 75,970 = 75,970 : x
  2. Step 2: Convert to fraction form
    49,198/75,970 = 75,970/x
  3. Step 3: Cross multiply
    49,198x = 75,970 × 75,970
  4. Step 4: Simplify right side
    49,198x = 5,771,440,900
  5. Step 5: Solve for x
    x = 5,771,440,900/49,198
  6. Step 6: Final answer
    x = 117,310.48

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.