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Finding the Third Proportional to 85,041 and 186,211

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Solution

The third proportional to 85,041 and 186,211 is: 407,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,041 : 186,211 = 186,211 : x
  2. Step 2: Convert to fraction form
    85,041/186,211 = 186,211/x
  3. Step 3: Cross multiply
    85,041x = 186,211 × 186,211
  4. Step 4: Simplify right side
    85,041x = 34,674,536,521
  5. Step 5: Solve for x
    x = 34,674,536,521/85,041
  6. Step 6: Final answer
    x = 407,739.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.