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Finding the Third Proportional to 50,974.75 and 105,533.75

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Solution

The third proportional to 50,974.75 and 105,533.75 is: 218,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,974.75 : 105,533.75 = 105,533.75 : x
  2. Step 2: Convert to fraction form
    50,974.75/105,533.75 = 105,533.75/x
  3. Step 3: Cross multiply
    50,974.75x = 105,533.75 × 105,533.75
  4. Step 4: Simplify right side
    50,974.75x = 11,137,372,389.06
  5. Step 5: Solve for x
    x = 11,137,372,389.06/50,974.75
  6. Step 6: Final answer
    x = 218,488.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.