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Finding the Third Proportional to 49,354 and 72,939

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Solution

The third proportional to 49,354 and 72,939 is: 107,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,354 : 72,939 = 72,939 : x
  2. Step 2: Convert to fraction form
    49,354/72,939 = 72,939/x
  3. Step 3: Cross multiply
    49,354x = 72,939 × 72,939
  4. Step 4: Simplify right side
    49,354x = 5,320,097,721
  5. Step 5: Solve for x
    x = 5,320,097,721/49,354
  6. Step 6: Final answer
    x = 107,794.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.