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Finding the Third Proportional to 71,823 and 145,698

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Solution

The third proportional to 71,823 and 145,698 is: 295,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,823 : 145,698 = 145,698 : x
  2. Step 2: Convert to fraction form
    71,823/145,698 = 145,698/x
  3. Step 3: Cross multiply
    71,823x = 145,698 × 145,698
  4. Step 4: Simplify right side
    71,823x = 21,227,907,204
  5. Step 5: Solve for x
    x = 21,227,907,204/71,823
  6. Step 6: Final answer
    x = 295,558.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.