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Finding the Third Proportional to 43,855 and 94,714

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Solution

The third proportional to 43,855 and 94,714 is: 204,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,855 : 94,714 = 94,714 : x
  2. Step 2: Convert to fraction form
    43,855/94,714 = 94,714/x
  3. Step 3: Cross multiply
    43,855x = 94,714 × 94,714
  4. Step 4: Simplify right side
    43,855x = 8,970,741,796
  5. Step 5: Solve for x
    x = 8,970,741,796/43,855
  6. Step 6: Final answer
    x = 204,554.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.