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Finding the Third Proportional to 94,991 and 202,695

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Solution

The third proportional to 94,991 and 202,695 is: 432,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,991 : 202,695 = 202,695 : x
  2. Step 2: Convert to fraction form
    94,991/202,695 = 202,695/x
  3. Step 3: Cross multiply
    94,991x = 202,695 × 202,695
  4. Step 4: Simplify right side
    94,991x = 41,085,263,025
  5. Step 5: Solve for x
    x = 41,085,263,025/94,991
  6. Step 6: Final answer
    x = 432,517.43

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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.