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Finding the Third Proportional to 104,074 and 213,048

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Solution

The third proportional to 104,074 and 213,048 is: 436,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,074 : 213,048 = 213,048 : x
  2. Step 2: Convert to fraction form
    104,074/213,048 = 213,048/x
  3. Step 3: Cross multiply
    104,074x = 213,048 × 213,048
  4. Step 4: Simplify right side
    104,074x = 45,389,450,304
  5. Step 5: Solve for x
    x = 45,389,450,304/104,074
  6. Step 6: Final answer
    x = 436,126.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.