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Finding the Third Proportional to 83,909 and 127,083

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Solution

The third proportional to 83,909 and 127,083 is: 192,471.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,909 : 127,083 = 127,083 : x
  2. Step 2: Convert to fraction form
    83,909/127,083 = 127,083/x
  3. Step 3: Cross multiply
    83,909x = 127,083 × 127,083
  4. Step 4: Simplify right side
    83,909x = 16,150,088,889
  5. Step 5: Solve for x
    x = 16,150,088,889/83,909
  6. Step 6: Final answer
    x = 192,471.47

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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.