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Finding the Third Proportional to 69,890 and 150,904

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Solution

The third proportional to 69,890 and 150,904 is: 325,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,890 : 150,904 = 150,904 : x
  2. Step 2: Convert to fraction form
    69,890/150,904 = 150,904/x
  3. Step 3: Cross multiply
    69,890x = 150,904 × 150,904
  4. Step 4: Simplify right side
    69,890x = 22,772,017,216
  5. Step 5: Solve for x
    x = 22,772,017,216/69,890
  6. Step 6: Final answer
    x = 325,826.54

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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.