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Finding the Third Proportional to 116,268 and 173,946

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Solution

The third proportional to 116,268 and 173,946 is: 260,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,268 : 173,946 = 173,946 : x
  2. Step 2: Convert to fraction form
    116,268/173,946 = 173,946/x
  3. Step 3: Cross multiply
    116,268x = 173,946 × 173,946
  4. Step 4: Simplify right side
    116,268x = 30,257,210,916
  5. Step 5: Solve for x
    x = 30,257,210,916/116,268
  6. Step 6: Final answer
    x = 260,236.79

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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.