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Finding the Third Proportional to 69,238.50 and 149,007

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Solution

The third proportional to 69,238.50 and 149,007 is: 320,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,238.50 : 149,007 = 149,007 : x
  2. Step 2: Convert to fraction form
    69,238.50/149,007 = 149,007/x
  3. Step 3: Cross multiply
    69,238.50x = 149,007 × 149,007
  4. Step 4: Simplify right side
    69,238.50x = 22,203,086,049
  5. Step 5: Solve for x
    x = 22,203,086,049/69,238.50
  6. Step 6: Final answer
    x = 320,675.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.