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Finding the Third Proportional to 65,189.25 and 156,993

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Solution

The third proportional to 65,189.25 and 156,993 is: 378,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.25 : 156,993 = 156,993 : x
  2. Step 2: Convert to fraction form
    65,189.25/156,993 = 156,993/x
  3. Step 3: Cross multiply
    65,189.25x = 156,993 × 156,993
  4. Step 4: Simplify right side
    65,189.25x = 24,646,802,049
  5. Step 5: Solve for x
    x = 24,646,802,049/65,189.25
  6. Step 6: Final answer
    x = 378,080.77

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.