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Finding the Third Proportional to 47,750 and 103,996

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Solution

The third proportional to 47,750 and 103,996 is: 226,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,750 : 103,996 = 103,996 : x
  2. Step 2: Convert to fraction form
    47,750/103,996 = 103,996/x
  3. Step 3: Cross multiply
    47,750x = 103,996 × 103,996
  4. Step 4: Simplify right side
    47,750x = 10,815,168,016
  5. Step 5: Solve for x
    x = 10,815,168,016/47,750
  6. Step 6: Final answer
    x = 226,495.67

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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.