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Finding the Third Proportional to 47,061 and 103,338

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Solution

The third proportional to 47,061 and 103,338 is: 226,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061 : 103,338 = 103,338 : x
  2. Step 2: Convert to fraction form
    47,061/103,338 = 103,338/x
  3. Step 3: Cross multiply
    47,061x = 103,338 × 103,338
  4. Step 4: Simplify right side
    47,061x = 10,678,742,244
  5. Step 5: Solve for x
    x = 10,678,742,244/47,061
  6. Step 6: Final answer
    x = 226,912.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.