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Finding the Third Proportional to 69,583.50 and 149,004

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Solution

The third proportional to 69,583.50 and 149,004 is: 319,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,583.50 : 149,004 = 149,004 : x
  2. Step 2: Convert to fraction form
    69,583.50/149,004 = 149,004/x
  3. Step 3: Cross multiply
    69,583.50x = 149,004 × 149,004
  4. Step 4: Simplify right side
    69,583.50x = 22,202,192,016
  5. Step 5: Solve for x
    x = 22,202,192,016/69,583.50
  6. Step 6: Final answer
    x = 319,072.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.