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Finding the Third Proportional to 84,558 and 118,221

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Solution

The third proportional to 84,558 and 118,221 is: 165,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,558 : 118,221 = 118,221 : x
  2. Step 2: Convert to fraction form
    84,558/118,221 = 118,221/x
  3. Step 3: Cross multiply
    84,558x = 118,221 × 118,221
  4. Step 4: Simplify right side
    84,558x = 13,976,204,841
  5. Step 5: Solve for x
    x = 13,976,204,841/84,558
  6. Step 6: Final answer
    x = 165,285.42

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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.