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Finding the Third Proportional to 83,194 and 127,880

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Solution

The third proportional to 83,194 and 127,880 is: 196,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,194 : 127,880 = 127,880 : x
  2. Step 2: Convert to fraction form
    83,194/127,880 = 127,880/x
  3. Step 3: Cross multiply
    83,194x = 127,880 × 127,880
  4. Step 4: Simplify right side
    83,194x = 16,353,294,400
  5. Step 5: Solve for x
    x = 16,353,294,400/83,194
  6. Step 6: Final answer
    x = 196,568.19

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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.