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Finding the Third Proportional to 131,667 and 188,153

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Solution

The third proportional to 131,667 and 188,153 is: 268,871.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,667 : 188,153 = 188,153 : x
  2. Step 2: Convert to fraction form
    131,667/188,153 = 188,153/x
  3. Step 3: Cross multiply
    131,667x = 188,153 × 188,153
  4. Step 4: Simplify right side
    131,667x = 35,401,551,409
  5. Step 5: Solve for x
    x = 35,401,551,409/131,667
  6. Step 6: Final answer
    x = 268,871.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.