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Finding the Third Proportional to 47,287 and 102,974

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Solution

The third proportional to 47,287 and 102,974 is: 224,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,287 : 102,974 = 102,974 : x
  2. Step 2: Convert to fraction form
    47,287/102,974 = 102,974/x
  3. Step 3: Cross multiply
    47,287x = 102,974 × 102,974
  4. Step 4: Simplify right side
    47,287x = 10,603,644,676
  5. Step 5: Solve for x
    x = 10,603,644,676/47,287
  6. Step 6: Final answer
    x = 224,240.16

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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.