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Finding the Third Proportional to 40,241 and 94,694

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Solution

The third proportional to 40,241 and 94,694 is: 222,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 94,694 = 94,694 : x
  2. Step 2: Convert to fraction form
    40,241/94,694 = 94,694/x
  3. Step 3: Cross multiply
    40,241x = 94,694 × 94,694
  4. Step 4: Simplify right side
    40,241x = 8,966,953,636
  5. Step 5: Solve for x
    x = 8,966,953,636/40,241
  6. Step 6: Final answer
    x = 222,831.28

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.