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Finding the Third Proportional to 47,208 and 103,002

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Solution

The third proportional to 47,208 and 103,002 is: 224,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208 : 103,002 = 103,002 : x
  2. Step 2: Convert to fraction form
    47,208/103,002 = 103,002/x
  3. Step 3: Cross multiply
    47,208x = 103,002 × 103,002
  4. Step 4: Simplify right side
    47,208x = 10,609,412,004
  5. Step 5: Solve for x
    x = 10,609,412,004/47,208
  6. Step 6: Final answer
    x = 224,737.59

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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.