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Finding the Third Proportional to 43,972.50 and 106,285.25

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Solution

The third proportional to 43,972.50 and 106,285.25 is: 256,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,972.50 : 106,285.25 = 106,285.25 : x
  2. Step 2: Convert to fraction form
    43,972.50/106,285.25 = 106,285.25/x
  3. Step 3: Cross multiply
    43,972.50x = 106,285.25 × 106,285.25
  4. Step 4: Simplify right side
    43,972.50x = 11,296,554,367.56
  5. Step 5: Solve for x
    x = 11,296,554,367.56/43,972.50
  6. Step 6: Final answer
    x = 256,900.43

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.