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Finding the Third Proportional to 74,433 and 111,663

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Solution

The third proportional to 74,433 and 111,663 is: 167,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,433 : 111,663 = 111,663 : x
  2. Step 2: Convert to fraction form
    74,433/111,663 = 111,663/x
  3. Step 3: Cross multiply
    74,433x = 111,663 × 111,663
  4. Step 4: Simplify right side
    74,433x = 12,468,625,569
  5. Step 5: Solve for x
    x = 12,468,625,569/74,433
  6. Step 6: Final answer
    x = 167,514.75

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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.