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Finding the Third Proportional to 83,412 and 125,838

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Solution

The third proportional to 83,412 and 125,838 is: 189,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,412 : 125,838 = 125,838 : x
  2. Step 2: Convert to fraction form
    83,412/125,838 = 125,838/x
  3. Step 3: Cross multiply
    83,412x = 125,838 × 125,838
  4. Step 4: Simplify right side
    83,412x = 15,835,202,244
  5. Step 5: Solve for x
    x = 15,835,202,244/83,412
  6. Step 6: Final answer
    x = 189,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.