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Finding the Third Proportional to 50,974.31 and 84,245.06

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Solution

The third proportional to 50,974.31 and 84,245.06 is: 139,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.31 : 84,245.06 = 84,245.06 : x
  2. Step 2: Convert to fraction form
    50,974.31/84,245.06 = 84,245.06/x
  3. Step 3: Cross multiply
    50,974.31x = 84,245.06 × 84,245.06
  4. Step 4: Simplify right side
    50,974.31x = 7,097,230,555.63
  5. Step 5: Solve for x
    x = 7,097,230,555.63/50,974.31
  6. Step 6: Final answer
    x = 139,231.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.