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Finding the Third Proportional to 41,172.50 and 83,803

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Solution

The third proportional to 41,172.50 and 83,803 is: 170,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,172.50 : 83,803 = 83,803 : x
  2. Step 2: Convert to fraction form
    41,172.50/83,803 = 83,803/x
  3. Step 3: Cross multiply
    41,172.50x = 83,803 × 83,803
  4. Step 4: Simplify right side
    41,172.50x = 7,022,942,809
  5. Step 5: Solve for x
    x = 7,022,942,809/41,172.50
  6. Step 6: Final answer
    x = 170,573.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.