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Finding the Third Proportional to 107,181 and 161,865

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Solution

The third proportional to 107,181 and 161,865 is: 244,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,181 : 161,865 = 161,865 : x
  2. Step 2: Convert to fraction form
    107,181/161,865 = 161,865/x
  3. Step 3: Cross multiply
    107,181x = 161,865 × 161,865
  4. Step 4: Simplify right side
    107,181x = 26,200,278,225
  5. Step 5: Solve for x
    x = 26,200,278,225/107,181
  6. Step 6: Final answer
    x = 244,448.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.