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Finding the Third Proportional to 124,867 and 202,873

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Solution

The third proportional to 124,867 and 202,873 is: 329,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,867 : 202,873 = 202,873 : x
  2. Step 2: Convert to fraction form
    124,867/202,873 = 202,873/x
  3. Step 3: Cross multiply
    124,867x = 202,873 × 202,873
  4. Step 4: Simplify right side
    124,867x = 41,157,454,129
  5. Step 5: Solve for x
    x = 41,157,454,129/124,867
  6. Step 6: Final answer
    x = 329,610.34

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.