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Finding the Third Proportional to 70,404.75 and 146,634.75

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Solution

The third proportional to 70,404.75 and 146,634.75 is: 305,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,404.75 : 146,634.75 = 146,634.75 : x
  2. Step 2: Convert to fraction form
    70,404.75/146,634.75 = 146,634.75/x
  3. Step 3: Cross multiply
    70,404.75x = 146,634.75 × 146,634.75
  4. Step 4: Simplify right side
    70,404.75x = 21,501,749,907.56
  5. Step 5: Solve for x
    x = 21,501,749,907.56/70,404.75
  6. Step 6: Final answer
    x = 305,401.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.