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Finding the Third Proportional to 51,122.75 and 104,724.50

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Solution

The third proportional to 51,122.75 and 104,724.50 is: 214,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,122.75 : 104,724.50 = 104,724.50 : x
  2. Step 2: Convert to fraction form
    51,122.75/104,724.50 = 104,724.50/x
  3. Step 3: Cross multiply
    51,122.75x = 104,724.50 × 104,724.50
  4. Step 4: Simplify right side
    51,122.75x = 10,967,220,900.25
  5. Step 5: Solve for x
    x = 10,967,220,900.25/51,122.75
  6. Step 6: Final answer
    x = 214,527.21

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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.