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Finding the Third Proportional to 91,992 and 214,974

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Solution

The third proportional to 91,992 and 214,974 is: 502,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,992 : 214,974 = 214,974 : x
  2. Step 2: Convert to fraction form
    91,992/214,974 = 214,974/x
  3. Step 3: Cross multiply
    91,992x = 214,974 × 214,974
  4. Step 4: Simplify right side
    91,992x = 46,213,820,676
  5. Step 5: Solve for x
    x = 46,213,820,676/91,992
  6. Step 6: Final answer
    x = 502,367.82

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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.