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Finding the Third Proportional to 51,744 and 109,950

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Solution

The third proportional to 51,744 and 109,950 is: 233,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744 : 109,950 = 109,950 : x
  2. Step 2: Convert to fraction form
    51,744/109,950 = 109,950/x
  3. Step 3: Cross multiply
    51,744x = 109,950 × 109,950
  4. Step 4: Simplify right side
    51,744x = 12,089,002,500
  5. Step 5: Solve for x
    x = 12,089,002,500/51,744
  6. Step 6: Final answer
    x = 233,631.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.