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Finding the Third Proportional to 83,016 and 126,954

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Solution

The third proportional to 83,016 and 126,954 is: 194,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,016 : 126,954 = 126,954 : x
  2. Step 2: Convert to fraction form
    83,016/126,954 = 126,954/x
  3. Step 3: Cross multiply
    83,016x = 126,954 × 126,954
  4. Step 4: Simplify right side
    83,016x = 16,117,318,116
  5. Step 5: Solve for x
    x = 16,117,318,116/83,016
  6. Step 6: Final answer
    x = 194,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.