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Finding the Third Proportional to 86,162 and 125,901

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Solution

The third proportional to 86,162 and 125,901 is: 183,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,162 : 125,901 = 125,901 : x
  2. Step 2: Convert to fraction form
    86,162/125,901 = 125,901/x
  3. Step 3: Cross multiply
    86,162x = 125,901 × 125,901
  4. Step 4: Simplify right side
    86,162x = 15,851,061,801
  5. Step 5: Solve for x
    x = 15,851,061,801/86,162
  6. Step 6: Final answer
    x = 183,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.