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Finding the Third Proportional to 71,082 and 150,911

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Solution

The third proportional to 71,082 and 150,911 is: 320,392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,082 : 150,911 = 150,911 : x
  2. Step 2: Convert to fraction form
    71,082/150,911 = 150,911/x
  3. Step 3: Cross multiply
    71,082x = 150,911 × 150,911
  4. Step 4: Simplify right side
    71,082x = 22,774,129,921
  5. Step 5: Solve for x
    x = 22,774,129,921/71,082
  6. Step 6: Final answer
    x = 320,392.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.