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Finding the Third Proportional to 43,729 and 92,714

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Solution

The third proportional to 43,729 and 92,714 is: 196,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729 : 92,714 = 92,714 : x
  2. Step 2: Convert to fraction form
    43,729/92,714 = 92,714/x
  3. Step 3: Cross multiply
    43,729x = 92,714 × 92,714
  4. Step 4: Simplify right side
    43,729x = 8,595,885,796
  5. Step 5: Solve for x
    x = 8,595,885,796/43,729
  6. Step 6: Final answer
    x = 196,571.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.