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Finding the Third Proportional to 94,884 and 201,450

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Solution

The third proportional to 94,884 and 201,450 is: 427,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,884 : 201,450 = 201,450 : x
  2. Step 2: Convert to fraction form
    94,884/201,450 = 201,450/x
  3. Step 3: Cross multiply
    94,884x = 201,450 × 201,450
  4. Step 4: Simplify right side
    94,884x = 40,582,102,500
  5. Step 5: Solve for x
    x = 40,582,102,500/94,884
  6. Step 6: Final answer
    x = 427,702.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.