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Finding the Third Proportional to 48,606 and 105,996

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Solution

The third proportional to 48,606 and 105,996 is: 231,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,606 : 105,996 = 105,996 : x
  2. Step 2: Convert to fraction form
    48,606/105,996 = 105,996/x
  3. Step 3: Cross multiply
    48,606x = 105,996 × 105,996
  4. Step 4: Simplify right side
    48,606x = 11,235,152,016
  5. Step 5: Solve for x
    x = 11,235,152,016/48,606
  6. Step 6: Final answer
    x = 231,147.43

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Why These Related Problems?

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