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Finding the Third Proportional to 86,264 and 131,700

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Solution

The third proportional to 86,264 and 131,700 is: 201,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,264 : 131,700 = 131,700 : x
  2. Step 2: Convert to fraction form
    86,264/131,700 = 131,700/x
  3. Step 3: Cross multiply
    86,264x = 131,700 × 131,700
  4. Step 4: Simplify right side
    86,264x = 17,344,890,000
  5. Step 5: Solve for x
    x = 17,344,890,000/86,264
  6. Step 6: Final answer
    x = 201,067.54

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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.