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Finding the Third Proportional to 50,244.75 and 104,624.25

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Solution

The third proportional to 50,244.75 and 104,624.25 is: 217,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,244.75 : 104,624.25 = 104,624.25 : x
  2. Step 2: Convert to fraction form
    50,244.75/104,624.25 = 104,624.25/x
  3. Step 3: Cross multiply
    50,244.75x = 104,624.25 × 104,624.25
  4. Step 4: Simplify right side
    50,244.75x = 10,946,233,688.06
  5. Step 5: Solve for x
    x = 10,946,233,688.06/50,244.75
  6. Step 6: Final answer
    x = 217,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.