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Finding the Third Proportional to 94,941 and 202,152

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Solution

The third proportional to 94,941 and 202,152 is: 430,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,941 : 202,152 = 202,152 : x
  2. Step 2: Convert to fraction form
    94,941/202,152 = 202,152/x
  3. Step 3: Cross multiply
    94,941x = 202,152 × 202,152
  4. Step 4: Simplify right side
    94,941x = 40,865,431,104
  5. Step 5: Solve for x
    x = 40,865,431,104/94,941
  6. Step 6: Final answer
    x = 430,429.75

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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.