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Finding the Third Proportional to 42,823 and 94,825

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Solution

The third proportional to 42,823 and 94,825 is: 209,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823 : 94,825 = 94,825 : x
  2. Step 2: Convert to fraction form
    42,823/94,825 = 94,825/x
  3. Step 3: Cross multiply
    42,823x = 94,825 × 94,825
  4. Step 4: Simplify right side
    42,823x = 8,991,780,625
  5. Step 5: Solve for x
    x = 8,991,780,625/42,823
  6. Step 6: Final answer
    x = 209,975.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.