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Finding the Third Proportional to 86,200 and 132,450

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Solution

The third proportional to 86,200 and 132,450 is: 203,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200 : 132,450 = 132,450 : x
  2. Step 2: Convert to fraction form
    86,200/132,450 = 132,450/x
  3. Step 3: Cross multiply
    86,200x = 132,450 × 132,450
  4. Step 4: Simplify right side
    86,200x = 17,543,002,500
  5. Step 5: Solve for x
    x = 17,543,002,500/86,200
  6. Step 6: Final answer
    x = 203,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.