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Finding the Third Proportional to 65,796.75 and 142,115.25

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Solution

The third proportional to 65,796.75 and 142,115.25 is: 306,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796.75 : 142,115.25 = 142,115.25 : x
  2. Step 2: Convert to fraction form
    65,796.75/142,115.25 = 142,115.25/x
  3. Step 3: Cross multiply
    65,796.75x = 142,115.25 × 142,115.25
  4. Step 4: Simplify right side
    65,796.75x = 20,196,744,282.56
  5. Step 5: Solve for x
    x = 20,196,744,282.56/65,796.75
  6. Step 6: Final answer
    x = 306,956.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.