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Finding the Third Proportional to 72,479.44 and 146,906.25

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Solution

The third proportional to 72,479.44 and 146,906.25 is: 297,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,479.44 : 146,906.25 = 146,906.25 : x
  2. Step 2: Convert to fraction form
    72,479.44/146,906.25 = 146,906.25/x
  3. Step 3: Cross multiply
    72,479.44x = 146,906.25 × 146,906.25
  4. Step 4: Simplify right side
    72,479.44x = 21,581,446,289.06
  5. Step 5: Solve for x
    x = 21,581,446,289.06/72,479.44
  6. Step 6: Final answer
    x = 297,759.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.