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Finding the Third Proportional to 69,716.25 and 143,106.75

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Solution

The third proportional to 69,716.25 and 143,106.75 is: 293,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,716.25 : 143,106.75 = 143,106.75 : x
  2. Step 2: Convert to fraction form
    69,716.25/143,106.75 = 143,106.75/x
  3. Step 3: Cross multiply
    69,716.25x = 143,106.75 × 143,106.75
  4. Step 4: Simplify right side
    69,716.25x = 20,479,541,895.56
  5. Step 5: Solve for x
    x = 20,479,541,895.56/69,716.25
  6. Step 6: Final answer
    x = 293,755.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.