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Finding the Third Proportional to 116,634 and 180,105.75

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Solution

The third proportional to 116,634 and 180,105.75 is: 278,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,634 : 180,105.75 = 180,105.75 : x
  2. Step 2: Convert to fraction form
    116,634/180,105.75 = 180,105.75/x
  3. Step 3: Cross multiply
    116,634x = 180,105.75 × 180,105.75
  4. Step 4: Simplify right side
    116,634x = 32,438,081,183.06
  5. Step 5: Solve for x
    x = 32,438,081,183.06/116,634
  6. Step 6: Final answer
    x = 278,118.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.