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Finding the Third Proportional to 104,563 and 222,612

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Solution

The third proportional to 104,563 and 222,612 is: 473,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,563 : 222,612 = 222,612 : x
  2. Step 2: Convert to fraction form
    104,563/222,612 = 222,612/x
  3. Step 3: Cross multiply
    104,563x = 222,612 × 222,612
  4. Step 4: Simplify right side
    104,563x = 49,556,102,544
  5. Step 5: Solve for x
    x = 49,556,102,544/104,563
  6. Step 6: Final answer
    x = 473,935.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.