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Finding the Third Proportional to 116,134 and 173,748

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Solution

The third proportional to 116,134 and 173,748 is: 259,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,134 : 173,748 = 173,748 : x
  2. Step 2: Convert to fraction form
    116,134/173,748 = 173,748/x
  3. Step 3: Cross multiply
    116,134x = 173,748 × 173,748
  4. Step 4: Simplify right side
    116,134x = 30,188,367,504
  5. Step 5: Solve for x
    x = 30,188,367,504/116,134
  6. Step 6: Final answer
    x = 259,944.27

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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.