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Finding the Third Proportional to 69,824 and 150,720

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Solution

The third proportional to 69,824 and 150,720 is: 325,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,824 : 150,720 = 150,720 : x
  2. Step 2: Convert to fraction form
    69,824/150,720 = 150,720/x
  3. Step 3: Cross multiply
    69,824x = 150,720 × 150,720
  4. Step 4: Simplify right side
    69,824x = 22,716,518,400
  5. Step 5: Solve for x
    x = 22,716,518,400/69,824
  6. Step 6: Final answer
    x = 325,339.69

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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.