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Finding the Third Proportional to 94,950 and 202,172

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Solution

The third proportional to 94,950 and 202,172 is: 430,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,950 : 202,172 = 202,172 : x
  2. Step 2: Convert to fraction form
    94,950/202,172 = 202,172/x
  3. Step 3: Cross multiply
    94,950x = 202,172 × 202,172
  4. Step 4: Simplify right side
    94,950x = 40,873,517,584
  5. Step 5: Solve for x
    x = 40,873,517,584/94,950
  6. Step 6: Final answer
    x = 430,474.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.