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Finding the Third Proportional to 86,538 and 131,431

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Solution

The third proportional to 86,538 and 131,431 is: 199,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538 : 131,431 = 131,431 : x
  2. Step 2: Convert to fraction form
    86,538/131,431 = 131,431/x
  3. Step 3: Cross multiply
    86,538x = 131,431 × 131,431
  4. Step 4: Simplify right side
    86,538x = 17,274,107,761
  5. Step 5: Solve for x
    x = 17,274,107,761/86,538
  6. Step 6: Final answer
    x = 199,612.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.