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Finding the Third Proportional to 65,168.44 and 142,311.38

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Solution

The third proportional to 65,168.44 and 142,311.38 is: 310,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168.44 : 142,311.38 = 142,311.38 : x
  2. Step 2: Convert to fraction form
    65,168.44/142,311.38 = 142,311.38/x
  3. Step 3: Cross multiply
    65,168.44x = 142,311.38 × 142,311.38
  4. Step 4: Simplify right side
    65,168.44x = 20,252,527,454.39
  5. Step 5: Solve for x
    x = 20,252,527,454.39/65,168.44
  6. Step 6: Final answer
    x = 310,772.03

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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.