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Finding the Third Proportional to 86,517 and 188,181

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Solution

The third proportional to 86,517 and 188,181 is: 409,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,517 : 188,181 = 188,181 : x
  2. Step 2: Convert to fraction form
    86,517/188,181 = 188,181/x
  3. Step 3: Cross multiply
    86,517x = 188,181 × 188,181
  4. Step 4: Simplify right side
    86,517x = 35,412,088,761
  5. Step 5: Solve for x
    x = 35,412,088,761/86,517
  6. Step 6: Final answer
    x = 409,307.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.