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Finding the Third Proportional to 69,940 and 150,937

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Solution

The third proportional to 69,940 and 150,937 is: 325,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,940 : 150,937 = 150,937 : x
  2. Step 2: Convert to fraction form
    69,940/150,937 = 150,937/x
  3. Step 3: Cross multiply
    69,940x = 150,937 × 150,937
  4. Step 4: Simplify right side
    69,940x = 22,781,977,969
  5. Step 5: Solve for x
    x = 22,781,977,969/69,940
  6. Step 6: Final answer
    x = 325,736.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.