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Finding the Third Proportional to 85,766 and 183,836

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Solution

The third proportional to 85,766 and 183,836 is: 394,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,766 : 183,836 = 183,836 : x
  2. Step 2: Convert to fraction form
    85,766/183,836 = 183,836/x
  3. Step 3: Cross multiply
    85,766x = 183,836 × 183,836
  4. Step 4: Simplify right side
    85,766x = 33,795,674,896
  5. Step 5: Solve for x
    x = 33,795,674,896/85,766
  6. Step 6: Final answer
    x = 394,045.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.