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Finding the Third Proportional to 107,164 and 150,954

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Solution

The third proportional to 107,164 and 150,954 is: 212,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,164 : 150,954 = 150,954 : x
  2. Step 2: Convert to fraction form
    107,164/150,954 = 150,954/x
  3. Step 3: Cross multiply
    107,164x = 150,954 × 150,954
  4. Step 4: Simplify right side
    107,164x = 22,787,110,116
  5. Step 5: Solve for x
    x = 22,787,110,116/107,164
  6. Step 6: Final answer
    x = 212,637.73

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Why These Related Problems?

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