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Finding the Third Proportional to 68,904 and 150,113.25

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Solution

The third proportional to 68,904 and 150,113.25 is: 327,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,904 : 150,113.25 = 150,113.25 : x
  2. Step 2: Convert to fraction form
    68,904/150,113.25 = 150,113.25/x
  3. Step 3: Cross multiply
    68,904x = 150,113.25 × 150,113.25
  4. Step 4: Simplify right side
    68,904x = 22,533,987,825.56
  5. Step 5: Solve for x
    x = 22,533,987,825.56/68,904
  6. Step 6: Final answer
    x = 327,034.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.