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Finding the Third Proportional to 83,447 and 125,879

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Solution

The third proportional to 83,447 and 125,879 is: 189,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447 : 125,879 = 125,879 : x
  2. Step 2: Convert to fraction form
    83,447/125,879 = 125,879/x
  3. Step 3: Cross multiply
    83,447x = 125,879 × 125,879
  4. Step 4: Simplify right side
    83,447x = 15,845,522,641
  5. Step 5: Solve for x
    x = 15,845,522,641/83,447
  6. Step 6: Final answer
    x = 189,887.27

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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.