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Finding the Third Proportional to 64,825 and 100,004

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Solution

The third proportional to 64,825 and 100,004 is: 154,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,825 : 100,004 = 100,004 : x
  2. Step 2: Convert to fraction form
    64,825/100,004 = 100,004/x
  3. Step 3: Cross multiply
    64,825x = 100,004 × 100,004
  4. Step 4: Simplify right side
    64,825x = 10,000,800,016
  5. Step 5: Solve for x
    x = 10,000,800,016/64,825
  6. Step 6: Final answer
    x = 154,273.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.