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Finding the Third Proportional to 40,422 and 94,420

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Solution

The third proportional to 40,422 and 94,420 is: 220,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422 : 94,420 = 94,420 : x
  2. Step 2: Convert to fraction form
    40,422/94,420 = 94,420/x
  3. Step 3: Cross multiply
    40,422x = 94,420 × 94,420
  4. Step 4: Simplify right side
    40,422x = 8,915,136,400
  5. Step 5: Solve for x
    x = 8,915,136,400/40,422
  6. Step 6: Final answer
    x = 220,551.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.