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Finding the Third Proportional to 76,881 and 165,259

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Solution

The third proportional to 76,881 and 165,259 is: 355,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881 : 165,259 = 165,259 : x
  2. Step 2: Convert to fraction form
    76,881/165,259 = 165,259/x
  3. Step 3: Cross multiply
    76,881x = 165,259 × 165,259
  4. Step 4: Simplify right side
    76,881x = 27,310,537,081
  5. Step 5: Solve for x
    x = 27,310,537,081/76,881
  6. Step 6: Final answer
    x = 355,231.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.