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Finding the Third Proportional to 84,383 and 118,679

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Solution

The third proportional to 84,383 and 118,679 is: 166,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,383 : 118,679 = 118,679 : x
  2. Step 2: Convert to fraction form
    84,383/118,679 = 118,679/x
  3. Step 3: Cross multiply
    84,383x = 118,679 × 118,679
  4. Step 4: Simplify right side
    84,383x = 14,084,705,041
  5. Step 5: Solve for x
    x = 14,084,705,041/84,383
  6. Step 6: Final answer
    x = 166,914.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.