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Finding the Third Proportional to 86,252 and 131,682

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Solution

The third proportional to 86,252 and 131,682 is: 201,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,252 : 131,682 = 131,682 : x
  2. Step 2: Convert to fraction form
    86,252/131,682 = 131,682/x
  3. Step 3: Cross multiply
    86,252x = 131,682 × 131,682
  4. Step 4: Simplify right side
    86,252x = 17,340,149,124
  5. Step 5: Solve for x
    x = 17,340,149,124/86,252
  6. Step 6: Final answer
    x = 201,040.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.