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Finding the Third Proportional to 83,048 and 125,436

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Solution

The third proportional to 83,048 and 125,436 is: 189,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,048 : 125,436 = 125,436 : x
  2. Step 2: Convert to fraction form
    83,048/125,436 = 125,436/x
  3. Step 3: Cross multiply
    83,048x = 125,436 × 125,436
  4. Step 4: Simplify right side
    83,048x = 15,734,190,096
  5. Step 5: Solve for x
    x = 15,734,190,096/83,048
  6. Step 6: Final answer
    x = 189,458.99

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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.