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Finding the Third Proportional to 47,774 and 102,244

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Solution

The third proportional to 47,774 and 102,244 is: 218,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,774 : 102,244 = 102,244 : x
  2. Step 2: Convert to fraction form
    47,774/102,244 = 102,244/x
  3. Step 3: Cross multiply
    47,774x = 102,244 × 102,244
  4. Step 4: Simplify right side
    47,774x = 10,453,835,536
  5. Step 5: Solve for x
    x = 10,453,835,536/47,774
  6. Step 6: Final answer
    x = 218,818.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.