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Finding the Third Proportional to 86,920 and 183,182

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Solution

The third proportional to 86,920 and 183,182 is: 386,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920 : 183,182 = 183,182 : x
  2. Step 2: Convert to fraction form
    86,920/183,182 = 183,182/x
  3. Step 3: Cross multiply
    86,920x = 183,182 × 183,182
  4. Step 4: Simplify right side
    86,920x = 33,555,645,124
  5. Step 5: Solve for x
    x = 33,555,645,124/86,920
  6. Step 6: Final answer
    x = 386,052.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.