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Finding the Third Proportional to 39,116 and 83,079

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Solution

The third proportional to 39,116 and 83,079 is: 176,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 83,079 = 83,079 : x
  2. Step 2: Convert to fraction form
    39,116/83,079 = 83,079/x
  3. Step 3: Cross multiply
    39,116x = 83,079 × 83,079
  4. Step 4: Simplify right side
    39,116x = 6,902,120,241
  5. Step 5: Solve for x
    x = 6,902,120,241/39,116
  6. Step 6: Final answer
    x = 176,452.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.