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Finding the Third Proportional to 107,601.75 and 161,664.19

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Solution

The third proportional to 107,601.75 and 161,664.19 is: 242,889.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,601.75 : 161,664.19 = 161,664.19 : x
  2. Step 2: Convert to fraction form
    107,601.75/161,664.19 = 161,664.19/x
  3. Step 3: Cross multiply
    107,601.75x = 161,664.19 × 161,664.19
  4. Step 4: Simplify right side
    107,601.75x = 26,135,309,520.04
  5. Step 5: Solve for x
    x = 26,135,309,520.04/107,601.75
  6. Step 6: Final answer
    x = 242,889.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.