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Finding the Third Proportional to 69,054 and 104,514.75

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Solution

The third proportional to 69,054 and 104,514.75 is: 158,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,054 : 104,514.75 = 104,514.75 : x
  2. Step 2: Convert to fraction form
    69,054/104,514.75 = 104,514.75/x
  3. Step 3: Cross multiply
    69,054x = 104,514.75 × 104,514.75
  4. Step 4: Simplify right side
    69,054x = 10,923,332,967.56
  5. Step 5: Solve for x
    x = 10,923,332,967.56/69,054
  6. Step 6: Final answer
    x = 158,185.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.