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Finding the Third Proportional to 49,417 and 73,990

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Solution

The third proportional to 49,417 and 73,990 is: 110,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,417 : 73,990 = 73,990 : x
  2. Step 2: Convert to fraction form
    49,417/73,990 = 73,990/x
  3. Step 3: Cross multiply
    49,417x = 73,990 × 73,990
  4. Step 4: Simplify right side
    49,417x = 5,474,520,100
  5. Step 5: Solve for x
    x = 5,474,520,100/49,417
  6. Step 6: Final answer
    x = 110,782.12

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