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Finding the Third Proportional to 69,729.26 and 143,133.89

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Solution

The third proportional to 69,729.26 and 143,133.89 is: 293,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,729.26 : 143,133.89 = 143,133.89 : x
  2. Step 2: Convert to fraction form
    69,729.26/143,133.89 = 143,133.89/x
  3. Step 3: Cross multiply
    69,729.26x = 143,133.89 × 143,133.89
  4. Step 4: Simplify right side
    69,729.26x = 20,487,310,645.45
  5. Step 5: Solve for x
    x = 20,487,310,645.45/69,729.26
  6. Step 6: Final answer
    x = 293,812.26

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