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Finding the Third Proportional to 116,135 and 173,749

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Solution

The third proportional to 116,135 and 173,749 is: 259,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,135 : 173,749 = 173,749 : x
  2. Step 2: Convert to fraction form
    116,135/173,749 = 173,749/x
  3. Step 3: Cross multiply
    116,135x = 173,749 × 173,749
  4. Step 4: Simplify right side
    116,135x = 30,188,715,001
  5. Step 5: Solve for x
    x = 30,188,715,001/116,135
  6. Step 6: Final answer
    x = 259,945.02

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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.