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Finding the Third Proportional to 94,067 and 202,829

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Solution

The third proportional to 94,067 and 202,829 is: 437,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,067 : 202,829 = 202,829 : x
  2. Step 2: Convert to fraction form
    94,067/202,829 = 202,829/x
  3. Step 3: Cross multiply
    94,067x = 202,829 × 202,829
  4. Step 4: Simplify right side
    94,067x = 41,139,603,241
  5. Step 5: Solve for x
    x = 41,139,603,241/94,067
  6. Step 6: Final answer
    x = 437,343.63

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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.