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Finding the Third Proportional to 102,651.75 and 154,626.75

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Solution

The third proportional to 102,651.75 and 154,626.75 is: 232,917.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.75 : 154,626.75 = 154,626.75 : x
  2. Step 2: Convert to fraction form
    102,651.75/154,626.75 = 154,626.75/x
  3. Step 3: Cross multiply
    102,651.75x = 154,626.75 × 154,626.75
  4. Step 4: Simplify right side
    102,651.75x = 23,909,431,815.56
  5. Step 5: Solve for x
    x = 23,909,431,815.56/102,651.75
  6. Step 6: Final answer
    x = 232,917.92

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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.