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Finding the Third Proportional to 74,418 and 111,867

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Solution

The third proportional to 74,418 and 111,867 is: 168,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,418 : 111,867 = 111,867 : x
  2. Step 2: Convert to fraction form
    74,418/111,867 = 111,867/x
  3. Step 3: Cross multiply
    74,418x = 111,867 × 111,867
  4. Step 4: Simplify right side
    74,418x = 12,514,225,689
  5. Step 5: Solve for x
    x = 12,514,225,689/74,418
  6. Step 6: Final answer
    x = 168,161.27

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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.