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Finding the Third Proportional to 104,022 and 212,974

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Solution

The third proportional to 104,022 and 212,974 is: 436,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,022 : 212,974 = 212,974 : x
  2. Step 2: Convert to fraction form
    104,022/212,974 = 212,974/x
  3. Step 3: Cross multiply
    104,022x = 212,974 × 212,974
  4. Step 4: Simplify right side
    104,022x = 45,357,924,676
  5. Step 5: Solve for x
    x = 45,357,924,676/104,022
  6. Step 6: Final answer
    x = 436,041.65

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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.