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Finding the Third Proportional to 77,804 and 165,976

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Solution

The third proportional to 77,804 and 165,976 is: 354,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,804 : 165,976 = 165,976 : x
  2. Step 2: Convert to fraction form
    77,804/165,976 = 165,976/x
  3. Step 3: Cross multiply
    77,804x = 165,976 × 165,976
  4. Step 4: Simplify right side
    77,804x = 27,548,032,576
  5. Step 5: Solve for x
    x = 27,548,032,576/77,804
  6. Step 6: Final answer
    x = 354,069.62

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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.