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Finding the Third Proportional to 43,213.50 and 103,983.75

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Solution

The third proportional to 43,213.50 and 103,983.75 is: 250,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213.50 : 103,983.75 = 103,983.75 : x
  2. Step 2: Convert to fraction form
    43,213.50/103,983.75 = 103,983.75/x
  3. Step 3: Cross multiply
    43,213.50x = 103,983.75 × 103,983.75
  4. Step 4: Simplify right side
    43,213.50x = 10,812,620,264.06
  5. Step 5: Solve for x
    x = 10,812,620,264.06/43,213.50
  6. Step 6: Final answer
    x = 250,213.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.