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Finding the Third Proportional to 63,756 and 91,698

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Solution

The third proportional to 63,756 and 91,698 is: 131,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,756 : 91,698 = 91,698 : x
  2. Step 2: Convert to fraction form
    63,756/91,698 = 91,698/x
  3. Step 3: Cross multiply
    63,756x = 91,698 × 91,698
  4. Step 4: Simplify right side
    63,756x = 8,408,523,204
  5. Step 5: Solve for x
    x = 8,408,523,204/63,756
  6. Step 6: Final answer
    x = 131,885.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.