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Finding the Third Proportional to 49,259 and 73,869

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Solution

The third proportional to 49,259 and 73,869 is: 110,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,259 : 73,869 = 73,869 : x
  2. Step 2: Convert to fraction form
    49,259/73,869 = 73,869/x
  3. Step 3: Cross multiply
    49,259x = 73,869 × 73,869
  4. Step 4: Simplify right side
    49,259x = 5,456,629,161
  5. Step 5: Solve for x
    x = 5,456,629,161/49,259
  6. Step 6: Final answer
    x = 110,774.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.