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Finding the Third Proportional to 170,732 and 186,041

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Solution

The third proportional to 170,732 and 186,041 is: 202,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,732 : 186,041 = 186,041 : x
  2. Step 2: Convert to fraction form
    170,732/186,041 = 186,041/x
  3. Step 3: Cross multiply
    170,732x = 186,041 × 186,041
  4. Step 4: Simplify right side
    170,732x = 34,611,253,681
  5. Step 5: Solve for x
    x = 34,611,253,681/170,732
  6. Step 6: Final answer
    x = 202,722.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.