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Finding the Third Proportional to 50,884 and 103,200

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Solution

The third proportional to 50,884 and 103,200 is: 209,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,884 : 103,200 = 103,200 : x
  2. Step 2: Convert to fraction form
    50,884/103,200 = 103,200/x
  3. Step 3: Cross multiply
    50,884x = 103,200 × 103,200
  4. Step 4: Simplify right side
    50,884x = 10,650,240,000
  5. Step 5: Solve for x
    x = 10,650,240,000/50,884
  6. Step 6: Final answer
    x = 209,304.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.