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Finding the Third Proportional to 47,114 and 102,554

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Solution

The third proportional to 47,114 and 102,554 is: 223,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,114 : 102,554 = 102,554 : x
  2. Step 2: Convert to fraction form
    47,114/102,554 = 102,554/x
  3. Step 3: Cross multiply
    47,114x = 102,554 × 102,554
  4. Step 4: Simplify right side
    47,114x = 10,517,322,916
  5. Step 5: Solve for x
    x = 10,517,322,916/47,114
  6. Step 6: Final answer
    x = 223,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.