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Finding the Third Proportional to 85,872 and 186,041

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Solution

The third proportional to 85,872 and 186,041 is: 403,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 186,041 = 186,041 : x
  2. Step 2: Convert to fraction form
    85,872/186,041 = 186,041/x
  3. Step 3: Cross multiply
    85,872x = 186,041 × 186,041
  4. Step 4: Simplify right side
    85,872x = 34,611,253,681
  5. Step 5: Solve for x
    x = 34,611,253,681/85,872
  6. Step 6: Final answer
    x = 403,056.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.