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Finding the Third Proportional to 47,517 and 103,942.50

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Solution

The third proportional to 47,517 and 103,942.50 is: 227,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,517 : 103,942.50 = 103,942.50 : x
  2. Step 2: Convert to fraction form
    47,517/103,942.50 = 103,942.50/x
  3. Step 3: Cross multiply
    47,517x = 103,942.50 × 103,942.50
  4. Step 4: Simplify right side
    47,517x = 10,804,043,306.25
  5. Step 5: Solve for x
    x = 10,804,043,306.25/47,517
  6. Step 6: Final answer
    x = 227,372.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.