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Finding the Third Proportional to 83,400 and 125,823

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Solution

The third proportional to 83,400 and 125,823 is: 189,825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400 : 125,823 = 125,823 : x
  2. Step 2: Convert to fraction form
    83,400/125,823 = 125,823/x
  3. Step 3: Cross multiply
    83,400x = 125,823 × 125,823
  4. Step 4: Simplify right side
    83,400x = 15,831,427,329
  5. Step 5: Solve for x
    x = 15,831,427,329/83,400
  6. Step 6: Final answer
    x = 189,825.27

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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.