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Finding the Third Proportional to 45,938 and 72,867

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Solution

The third proportional to 45,938 and 72,867 is: 115,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,938 : 72,867 = 72,867 : x
  2. Step 2: Convert to fraction form
    45,938/72,867 = 72,867/x
  3. Step 3: Cross multiply
    45,938x = 72,867 × 72,867
  4. Step 4: Simplify right side
    45,938x = 5,309,599,689
  5. Step 5: Solve for x
    x = 5,309,599,689/45,938
  6. Step 6: Final answer
    x = 115,581.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.