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Finding the Third Proportional to 47,603 and 103,954

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Solution

The third proportional to 47,603 and 103,954 is: 227,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,603 : 103,954 = 103,954 : x
  2. Step 2: Convert to fraction form
    47,603/103,954 = 103,954/x
  3. Step 3: Cross multiply
    47,603x = 103,954 × 103,954
  4. Step 4: Simplify right side
    47,603x = 10,806,434,116
  5. Step 5: Solve for x
    x = 10,806,434,116/47,603
  6. Step 6: Final answer
    x = 227,011.62

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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.