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Finding the Third Proportional to 71,084 and 107,176

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Solution

The third proportional to 71,084 and 107,176 is: 161,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 107,176 = 107,176 : x
  2. Step 2: Convert to fraction form
    71,084/107,176 = 107,176/x
  3. Step 3: Cross multiply
    71,084x = 107,176 × 107,176
  4. Step 4: Simplify right side
    71,084x = 11,486,694,976
  5. Step 5: Solve for x
    x = 11,486,694,976/71,084
  6. Step 6: Final answer
    x = 161,593.26

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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.