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Finding the Third Proportional to 45,326 and 67,881

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Solution

The third proportional to 45,326 and 67,881 is: 101,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 67,881 = 67,881 : x
  2. Step 2: Convert to fraction form
    45,326/67,881 = 67,881/x
  3. Step 3: Cross multiply
    45,326x = 67,881 × 67,881
  4. Step 4: Simplify right side
    45,326x = 4,607,830,161
  5. Step 5: Solve for x
    x = 4,607,830,161/45,326
  6. Step 6: Final answer
    x = 101,659.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.