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Finding the Third Proportional to 86,554 and 186,034

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Solution

The third proportional to 86,554 and 186,034 is: 399,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,554 : 186,034 = 186,034 : x
  2. Step 2: Convert to fraction form
    86,554/186,034 = 186,034/x
  3. Step 3: Cross multiply
    86,554x = 186,034 × 186,034
  4. Step 4: Simplify right side
    86,554x = 34,608,649,156
  5. Step 5: Solve for x
    x = 34,608,649,156/86,554
  6. Step 6: Final answer
    x = 399,850.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.