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Finding the Third Proportional to 84,519 and 118,161

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Solution

The third proportional to 84,519 and 118,161 is: 165,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519 : 118,161 = 118,161 : x
  2. Step 2: Convert to fraction form
    84,519/118,161 = 118,161/x
  3. Step 3: Cross multiply
    84,519x = 118,161 × 118,161
  4. Step 4: Simplify right side
    84,519x = 13,962,021,921
  5. Step 5: Solve for x
    x = 13,962,021,921/84,519
  6. Step 6: Final answer
    x = 165,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.