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Finding the Third Proportional to 50,467 and 72,420

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Solution

The third proportional to 50,467 and 72,420 is: 103,922.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,467 : 72,420 = 72,420 : x
  2. Step 2: Convert to fraction form
    50,467/72,420 = 72,420/x
  3. Step 3: Cross multiply
    50,467x = 72,420 × 72,420
  4. Step 4: Simplify right side
    50,467x = 5,244,656,400
  5. Step 5: Solve for x
    x = 5,244,656,400/50,467
  6. Step 6: Final answer
    x = 103,922.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.