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Finding the Third Proportional to 117,696.75 and 180,078.75

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Solution

The third proportional to 117,696.75 and 180,078.75 is: 275,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696.75 : 180,078.75 = 180,078.75 : x
  2. Step 2: Convert to fraction form
    117,696.75/180,078.75 = 180,078.75/x
  3. Step 3: Cross multiply
    117,696.75x = 180,078.75 × 180,078.75
  4. Step 4: Simplify right side
    117,696.75x = 32,428,356,201.56
  5. Step 5: Solve for x
    x = 32,428,356,201.56/117,696.75
  6. Step 6: Final answer
    x = 275,524.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.