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Finding the Third Proportional to 41,558 and 88,954

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Solution

The third proportional to 41,558 and 88,954 is: 190,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,558 : 88,954 = 88,954 : x
  2. Step 2: Convert to fraction form
    41,558/88,954 = 88,954/x
  3. Step 3: Cross multiply
    41,558x = 88,954 × 88,954
  4. Step 4: Simplify right side
    41,558x = 7,912,814,116
  5. Step 5: Solve for x
    x = 7,912,814,116/41,558
  6. Step 6: Final answer
    x = 190,404.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.