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Finding the Third Proportional to 69,222.73 and 143,249.45

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Solution

The third proportional to 69,222.73 and 143,249.45 is: 296,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,222.73 : 143,249.45 = 143,249.45 : x
  2. Step 2: Convert to fraction form
    69,222.73/143,249.45 = 143,249.45/x
  3. Step 3: Cross multiply
    69,222.73x = 143,249.45 × 143,249.45
  4. Step 4: Simplify right side
    69,222.73x = 20,520,404,701.48
  5. Step 5: Solve for x
    x = 20,520,404,701.48/69,222.73
  6. Step 6: Final answer
    x = 296,440.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.