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Finding the Third Proportional to 84,992 and 131,148

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Solution

The third proportional to 84,992 and 131,148 is: 202,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,992 : 131,148 = 131,148 : x
  2. Step 2: Convert to fraction form
    84,992/131,148 = 131,148/x
  3. Step 3: Cross multiply
    84,992x = 131,148 × 131,148
  4. Step 4: Simplify right side
    84,992x = 17,199,797,904
  5. Step 5: Solve for x
    x = 17,199,797,904/84,992
  6. Step 6: Final answer
    x = 202,369.61

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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.