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Finding the Third Proportional to 84,661 and 180,571

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Solution

The third proportional to 84,661 and 180,571 is: 385,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,661 : 180,571 = 180,571 : x
  2. Step 2: Convert to fraction form
    84,661/180,571 = 180,571/x
  3. Step 3: Cross multiply
    84,661x = 180,571 × 180,571
  4. Step 4: Simplify right side
    84,661x = 32,605,886,041
  5. Step 5: Solve for x
    x = 32,605,886,041/84,661
  6. Step 6: Final answer
    x = 385,134.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.