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Finding the Third Proportional to 70,212.75 and 152,919.75

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Solution

The third proportional to 70,212.75 and 152,919.75 is: 333,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212.75 : 152,919.75 = 152,919.75 : x
  2. Step 2: Convert to fraction form
    70,212.75/152,919.75 = 152,919.75/x
  3. Step 3: Cross multiply
    70,212.75x = 152,919.75 × 152,919.75
  4. Step 4: Simplify right side
    70,212.75x = 23,384,449,940.06
  5. Step 5: Solve for x
    x = 23,384,449,940.06/70,212.75
  6. Step 6: Final answer
    x = 333,051.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.