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Finding the Third Proportional to 47,112.75 and 102,404.25

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Solution

The third proportional to 47,112.75 and 102,404.25 is: 222,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112.75 : 102,404.25 = 102,404.25 : x
  2. Step 2: Convert to fraction form
    47,112.75/102,404.25 = 102,404.25/x
  3. Step 3: Cross multiply
    47,112.75x = 102,404.25 × 102,404.25
  4. Step 4: Simplify right side
    47,112.75x = 10,486,630,418.06
  5. Step 5: Solve for x
    x = 10,486,630,418.06/47,112.75
  6. Step 6: Final answer
    x = 222,585.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.