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Finding the Third Proportional to 83,158 and 127,812

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Solution

The third proportional to 83,158 and 127,812 is: 196,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,158 : 127,812 = 127,812 : x
  2. Step 2: Convert to fraction form
    83,158/127,812 = 127,812/x
  3. Step 3: Cross multiply
    83,158x = 127,812 × 127,812
  4. Step 4: Simplify right side
    83,158x = 16,335,907,344
  5. Step 5: Solve for x
    x = 16,335,907,344/83,158
  6. Step 6: Final answer
    x = 196,444.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.