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Finding the Third Proportional to 45,612 and 69,036

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Solution

The third proportional to 45,612 and 69,036 is: 104,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,612 : 69,036 = 69,036 : x
  2. Step 2: Convert to fraction form
    45,612/69,036 = 69,036/x
  3. Step 3: Cross multiply
    45,612x = 69,036 × 69,036
  4. Step 4: Simplify right side
    45,612x = 4,765,969,296
  5. Step 5: Solve for x
    x = 4,765,969,296/45,612
  6. Step 6: Final answer
    x = 104,489.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.