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Finding the Third Proportional to 105,728.06 and 161,940.94

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Solution

The third proportional to 105,728.06 and 161,940.94 is: 248,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.06 : 161,940.94 = 161,940.94 : x
  2. Step 2: Convert to fraction form
    105,728.06/161,940.94 = 161,940.94/x
  3. Step 3: Cross multiply
    105,728.06x = 161,940.94 × 161,940.94
  4. Step 4: Simplify right side
    105,728.06x = 26,224,867,238.38
  5. Step 5: Solve for x
    x = 26,224,867,238.38/105,728.06
  6. Step 6: Final answer
    x = 248,040.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.