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Finding the Third Proportional to 51,036 and 108,606

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Solution

The third proportional to 51,036 and 108,606 is: 231,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036 : 108,606 = 108,606 : x
  2. Step 2: Convert to fraction form
    51,036/108,606 = 108,606/x
  3. Step 3: Cross multiply
    51,036x = 108,606 × 108,606
  4. Step 4: Simplify right side
    51,036x = 11,795,263,236
  5. Step 5: Solve for x
    x = 11,795,263,236/51,036
  6. Step 6: Final answer
    x = 231,116.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.