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Finding the Third Proportional to 47,367 and 102,114

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Solution

The third proportional to 47,367 and 102,114 is: 220,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,367 : 102,114 = 102,114 : x
  2. Step 2: Convert to fraction form
    47,367/102,114 = 102,114/x
  3. Step 3: Cross multiply
    47,367x = 102,114 × 102,114
  4. Step 4: Simplify right side
    47,367x = 10,427,268,996
  5. Step 5: Solve for x
    x = 10,427,268,996/47,367
  6. Step 6: Final answer
    x = 220,137.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.