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Finding the Third Proportional to 66,933 and 100,406.25

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Solution

The third proportional to 66,933 and 100,406.25 is: 150,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 100,406.25 = 100,406.25 : x
  2. Step 2: Convert to fraction form
    66,933/100,406.25 = 100,406.25/x
  3. Step 3: Cross multiply
    66,933x = 100,406.25 × 100,406.25
  4. Step 4: Simplify right side
    66,933x = 10,081,415,039.06
  5. Step 5: Solve for x
    x = 10,081,415,039.06/66,933
  6. Step 6: Final answer
    x = 150,619.50

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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.