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Finding the Third Proportional to 48,621 and 105,990

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Solution

The third proportional to 48,621 and 105,990 is: 231,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,621 : 105,990 = 105,990 : x
  2. Step 2: Convert to fraction form
    48,621/105,990 = 105,990/x
  3. Step 3: Cross multiply
    48,621x = 105,990 × 105,990
  4. Step 4: Simplify right side
    48,621x = 11,233,880,100
  5. Step 5: Solve for x
    x = 11,233,880,100/48,621
  6. Step 6: Final answer
    x = 231,049.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.