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Finding the Third Proportional to 40,817 and 89,653

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Solution

The third proportional to 40,817 and 89,653 is: 196,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,817 : 89,653 = 89,653 : x
  2. Step 2: Convert to fraction form
    40,817/89,653 = 89,653/x
  3. Step 3: Cross multiply
    40,817x = 89,653 × 89,653
  4. Step 4: Simplify right side
    40,817x = 8,037,660,409
  5. Step 5: Solve for x
    x = 8,037,660,409/40,817
  6. Step 6: Final answer
    x = 196,919.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.