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Finding the Third Proportional to 65,723.06 and 142,976.81

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Solution

The third proportional to 65,723.06 and 142,976.81 is: 311,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,723.06 : 142,976.81 = 142,976.81 : x
  2. Step 2: Convert to fraction form
    65,723.06/142,976.81 = 142,976.81/x
  3. Step 3: Cross multiply
    65,723.06x = 142,976.81 × 142,976.81
  4. Step 4: Simplify right side
    65,723.06x = 20,442,368,912.66
  5. Step 5: Solve for x
    x = 20,442,368,912.66/65,723.06
  6. Step 6: Final answer
    x = 311,037.98

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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.