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Finding the Third Proportional to 47,112.75 and 102,531.19

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Solution

The third proportional to 47,112.75 and 102,531.19 is: 223,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,112.75 : 102,531.19 = 102,531.19 : x
  2. Step 2: Convert to fraction form
    47,112.75/102,531.19 = 102,531.19/x
  3. Step 3: Cross multiply
    47,112.75x = 102,531.19 × 102,531.19
  4. Step 4: Simplify right side
    47,112.75x = 10,512,644,410.16
  5. Step 5: Solve for x
    x = 10,512,644,410.16/47,112.75
  6. Step 6: Final answer
    x = 223,137.99

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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.