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Finding the Third Proportional to 45,168 and 100,704

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Solution

The third proportional to 45,168 and 100,704 is: 224,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,168 : 100,704 = 100,704 : x
  2. Step 2: Convert to fraction form
    45,168/100,704 = 100,704/x
  3. Step 3: Cross multiply
    45,168x = 100,704 × 100,704
  4. Step 4: Simplify right side
    45,168x = 10,141,295,616
  5. Step 5: Solve for x
    x = 10,141,295,616/45,168
  6. Step 6: Final answer
    x = 224,523.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.