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Finding the Third Proportional to 83,138 and 127,927

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Solution

The third proportional to 83,138 and 127,927 is: 196,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138 : 127,927 = 127,927 : x
  2. Step 2: Convert to fraction form
    83,138/127,927 = 127,927/x
  3. Step 3: Cross multiply
    83,138x = 127,927 × 127,927
  4. Step 4: Simplify right side
    83,138x = 16,365,317,329
  5. Step 5: Solve for x
    x = 16,365,317,329/83,138
  6. Step 6: Final answer
    x = 196,845.21

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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.