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Finding the Third Proportional to 116,834 and 175,054

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Solution

The third proportional to 116,834 and 175,054 is: 262,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,834 : 175,054 = 175,054 : x
  2. Step 2: Convert to fraction form
    116,834/175,054 = 175,054/x
  3. Step 3: Cross multiply
    116,834x = 175,054 × 175,054
  4. Step 4: Simplify right side
    116,834x = 30,643,902,916
  5. Step 5: Solve for x
    x = 30,643,902,916/116,834
  6. Step 6: Final answer
    x = 262,285.83

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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.