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Finding the Third Proportional to 105,708.94 and 161,912.25

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Solution

The third proportional to 105,708.94 and 161,912.25 is: 247,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708.94 : 161,912.25 = 161,912.25 : x
  2. Step 2: Convert to fraction form
    105,708.94/161,912.25 = 161,912.25/x
  3. Step 3: Cross multiply
    105,708.94x = 161,912.25 × 161,912.25
  4. Step 4: Simplify right side
    105,708.94x = 26,215,576,700.06
  5. Step 5: Solve for x
    x = 26,215,576,700.06/105,708.94
  6. Step 6: Final answer
    x = 247,997.73

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Why These Related Problems?

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