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Finding the Third Proportional to 75,841 and 165,506

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Solution

The third proportional to 75,841 and 165,506 is: 361,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,841 : 165,506 = 165,506 : x
  2. Step 2: Convert to fraction form
    75,841/165,506 = 165,506/x
  3. Step 3: Cross multiply
    75,841x = 165,506 × 165,506
  4. Step 4: Simplify right side
    75,841x = 27,392,236,036
  5. Step 5: Solve for x
    x = 27,392,236,036/75,841
  6. Step 6: Final answer
    x = 361,179.78

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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.