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Finding the Third Proportional to 46,678 and 102,427

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Solution

The third proportional to 46,678 and 102,427 is: 224,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,678 : 102,427 = 102,427 : x
  2. Step 2: Convert to fraction form
    46,678/102,427 = 102,427/x
  3. Step 3: Cross multiply
    46,678x = 102,427 × 102,427
  4. Step 4: Simplify right side
    46,678x = 10,491,290,329
  5. Step 5: Solve for x
    x = 10,491,290,329/46,678
  6. Step 6: Final answer
    x = 224,758.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.