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Finding the Third Proportional to 65,770.31 and 142,049.81

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Solution

The third proportional to 65,770.31 and 142,049.81 is: 306,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,770.31 : 142,049.81 = 142,049.81 : x
  2. Step 2: Convert to fraction form
    65,770.31/142,049.81 = 142,049.81/x
  3. Step 3: Cross multiply
    65,770.31x = 142,049.81 × 142,049.81
  4. Step 4: Simplify right side
    65,770.31x = 20,178,149,231.29
  5. Step 5: Solve for x
    x = 20,178,149,231.29/65,770.31
  6. Step 6: Final answer
    x = 306,797.22

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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.