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Finding the Third Proportional to 69,675.75 and 154,653.75

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Solution

The third proportional to 69,675.75 and 154,653.75 is: 343,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,675.75 : 154,653.75 = 154,653.75 : x
  2. Step 2: Convert to fraction form
    69,675.75/154,653.75 = 154,653.75/x
  3. Step 3: Cross multiply
    69,675.75x = 154,653.75 × 154,653.75
  4. Step 4: Simplify right side
    69,675.75x = 23,917,782,389.06
  5. Step 5: Solve for x
    x = 23,917,782,389.06/69,675.75
  6. Step 6: Final answer
    x = 343,272.69

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.