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Finding the Third Proportional to 65,794 and 159,090

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Solution

The third proportional to 65,794 and 159,090 is: 384,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794 : 159,090 = 159,090 : x
  2. Step 2: Convert to fraction form
    65,794/159,090 = 159,090/x
  3. Step 3: Cross multiply
    65,794x = 159,090 × 159,090
  4. Step 4: Simplify right side
    65,794x = 25,309,628,100
  5. Step 5: Solve for x
    x = 25,309,628,100/65,794
  6. Step 6: Final answer
    x = 384,679.88

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.