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Finding the Third Proportional to 74,190.25 and 175,021.50

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Solution

The third proportional to 74,190.25 and 175,021.50 is: 412,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,190.25 : 175,021.50 = 175,021.50 : x
  2. Step 2: Convert to fraction form
    74,190.25/175,021.50 = 175,021.50/x
  3. Step 3: Cross multiply
    74,190.25x = 175,021.50 × 175,021.50
  4. Step 4: Simplify right side
    74,190.25x = 30,632,525,462.25
  5. Step 5: Solve for x
    x = 30,632,525,462.25/74,190.25
  6. Step 6: Final answer
    x = 412,891.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.