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Finding the Third Proportional to 111,919 and 173,552

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Solution

The third proportional to 111,919 and 173,552 is: 269,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919 : 173,552 = 173,552 : x
  2. Step 2: Convert to fraction form
    111,919/173,552 = 173,552/x
  3. Step 3: Cross multiply
    111,919x = 173,552 × 173,552
  4. Step 4: Simplify right side
    111,919x = 30,120,296,704
  5. Step 5: Solve for x
    x = 30,120,296,704/111,919
  6. Step 6: Final answer
    x = 269,125.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.