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Finding the Third Proportional to 48,204 and 104,453

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Solution

The third proportional to 48,204 and 104,453 is: 226,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,204 : 104,453 = 104,453 : x
  2. Step 2: Convert to fraction form
    48,204/104,453 = 104,453/x
  3. Step 3: Cross multiply
    48,204x = 104,453 × 104,453
  4. Step 4: Simplify right side
    48,204x = 10,910,429,209
  5. Step 5: Solve for x
    x = 10,910,429,209/48,204
  6. Step 6: Final answer
    x = 226,338.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.