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Finding the Third Proportional to 69,333.75 and 149,727.38

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Solution

The third proportional to 69,333.75 and 149,727.38 is: 323,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,333.75 : 149,727.38 = 149,727.38 : x
  2. Step 2: Convert to fraction form
    69,333.75/149,727.38 = 149,727.38/x
  3. Step 3: Cross multiply
    69,333.75x = 149,727.38 × 149,727.38
  4. Step 4: Simplify right side
    69,333.75x = 22,418,286,824.39
  5. Step 5: Solve for x
    x = 22,418,286,824.39/69,333.75
  6. Step 6: Final answer
    x = 323,338.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.