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Finding the Third Proportional to 42,111 and 90,903

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Solution

The third proportional to 42,111 and 90,903 is: 196,227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,111 : 90,903 = 90,903 : x
  2. Step 2: Convert to fraction form
    42,111/90,903 = 90,903/x
  3. Step 3: Cross multiply
    42,111x = 90,903 × 90,903
  4. Step 4: Simplify right side
    42,111x = 8,263,355,409
  5. Step 5: Solve for x
    x = 8,263,355,409/42,111
  6. Step 6: Final answer
    x = 196,227.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.