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Finding the Third Proportional to 43,758 and 105,021

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Solution

The third proportional to 43,758 and 105,021 is: 252,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,758 : 105,021 = 105,021 : x
  2. Step 2: Convert to fraction form
    43,758/105,021 = 105,021/x
  3. Step 3: Cross multiply
    43,758x = 105,021 × 105,021
  4. Step 4: Simplify right side
    43,758x = 11,029,410,441
  5. Step 5: Solve for x
    x = 11,029,410,441/43,758
  6. Step 6: Final answer
    x = 252,054.72

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.