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Finding the Third Proportional to 50,471.75 and 106,168.75

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Solution

The third proportional to 50,471.75 and 106,168.75 is: 223,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.75 : 106,168.75 = 106,168.75 : x
  2. Step 2: Convert to fraction form
    50,471.75/106,168.75 = 106,168.75/x
  3. Step 3: Cross multiply
    50,471.75x = 106,168.75 × 106,168.75
  4. Step 4: Simplify right side
    50,471.75x = 11,271,803,476.56
  5. Step 5: Solve for x
    x = 11,271,803,476.56/50,471.75
  6. Step 6: Final answer
    x = 223,328.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.