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Finding the Third Proportional to 75,982 and 165,343

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Solution

The third proportional to 75,982 and 165,343 is: 359,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,982 : 165,343 = 165,343 : x
  2. Step 2: Convert to fraction form
    75,982/165,343 = 165,343/x
  3. Step 3: Cross multiply
    75,982x = 165,343 × 165,343
  4. Step 4: Simplify right side
    75,982x = 27,338,307,649
  5. Step 5: Solve for x
    x = 27,338,307,649/75,982
  6. Step 6: Final answer
    x = 359,799.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.