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Finding the Third Proportional to 49,398 and 72,234

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Solution

The third proportional to 49,398 and 72,234 is: 105,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398 : 72,234 = 72,234 : x
  2. Step 2: Convert to fraction form
    49,398/72,234 = 72,234/x
  3. Step 3: Cross multiply
    49,398x = 72,234 × 72,234
  4. Step 4: Simplify right side
    49,398x = 5,217,750,756
  5. Step 5: Solve for x
    x = 5,217,750,756/49,398
  6. Step 6: Final answer
    x = 105,626.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.