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Finding the Third Proportional to 104,811 and 148,164.75

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Solution

The third proportional to 104,811 and 148,164.75 is: 209,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,811 : 148,164.75 = 148,164.75 : x
  2. Step 2: Convert to fraction form
    104,811/148,164.75 = 148,164.75/x
  3. Step 3: Cross multiply
    104,811x = 148,164.75 × 148,164.75
  4. Step 4: Simplify right side
    104,811x = 21,952,793,142.56
  5. Step 5: Solve for x
    x = 21,952,793,142.56/104,811
  6. Step 6: Final answer
    x = 209,451.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.