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Finding the Third Proportional to 94,652 and 200,992

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Solution

The third proportional to 94,652 and 200,992 is: 426,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,652 : 200,992 = 200,992 : x
  2. Step 2: Convert to fraction form
    94,652/200,992 = 200,992/x
  3. Step 3: Cross multiply
    94,652x = 200,992 × 200,992
  4. Step 4: Simplify right side
    94,652x = 40,397,784,064
  5. Step 5: Solve for x
    x = 40,397,784,064/94,652
  6. Step 6: Final answer
    x = 426,803.28

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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.