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Finding the Third Proportional to 70,120.69 and 104,998.78

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Solution

The third proportional to 70,120.69 and 104,998.78 is: 157,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,120.69 : 104,998.78 = 104,998.78 : x
  2. Step 2: Convert to fraction form
    70,120.69/104,998.78 = 104,998.78/x
  3. Step 3: Cross multiply
    70,120.69x = 104,998.78 × 104,998.78
  4. Step 4: Simplify right side
    70,120.69x = 11,024,744,063.99
  5. Step 5: Solve for x
    x = 11,024,744,063.99/70,120.69
  6. Step 6: Final answer
    x = 157,225.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.