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Finding the Third Proportional to 84,589 and 183,754

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Solution

The third proportional to 84,589 and 183,754 is: 399,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,589 : 183,754 = 183,754 : x
  2. Step 2: Convert to fraction form
    84,589/183,754 = 183,754/x
  3. Step 3: Cross multiply
    84,589x = 183,754 × 183,754
  4. Step 4: Simplify right side
    84,589x = 33,765,532,516
  5. Step 5: Solve for x
    x = 33,765,532,516/84,589
  6. Step 6: Final answer
    x = 399,171.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.