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Finding the Third Proportional to 69,900 and 150,924

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Solution

The third proportional to 69,900 and 150,924 is: 325,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,900 : 150,924 = 150,924 : x
  2. Step 2: Convert to fraction form
    69,900/150,924 = 150,924/x
  3. Step 3: Cross multiply
    69,900x = 150,924 × 150,924
  4. Step 4: Simplify right side
    69,900x = 22,778,053,776
  5. Step 5: Solve for x
    x = 22,778,053,776/69,900
  6. Step 6: Final answer
    x = 325,866.29

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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.