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Finding the Third Proportional to 69,535.50 and 149,553.75

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Solution

The third proportional to 69,535.50 and 149,553.75 is: 321,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,535.50 : 149,553.75 = 149,553.75 : x
  2. Step 2: Convert to fraction form
    69,535.50/149,553.75 = 149,553.75/x
  3. Step 3: Cross multiply
    69,535.50x = 149,553.75 × 149,553.75
  4. Step 4: Simplify right side
    69,535.50x = 22,366,324,139.06
  5. Step 5: Solve for x
    x = 22,366,324,139.06/69,535.50
  6. Step 6: Final answer
    x = 321,653.32

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Why These Related Problems?

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