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Finding the Third Proportional to 77,796 and 165,960

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Solution

The third proportional to 77,796 and 165,960 is: 354,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,796 : 165,960 = 165,960 : x
  2. Step 2: Convert to fraction form
    77,796/165,960 = 165,960/x
  3. Step 3: Cross multiply
    77,796x = 165,960 × 165,960
  4. Step 4: Simplify right side
    77,796x = 27,542,721,600
  5. Step 5: Solve for x
    x = 27,542,721,600/77,796
  6. Step 6: Final answer
    x = 354,037.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.