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Finding the Third Proportional to 76,434 and 165,992

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Solution

The third proportional to 76,434 and 165,992 is: 360,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434 : 165,992 = 165,992 : x
  2. Step 2: Convert to fraction form
    76,434/165,992 = 165,992/x
  3. Step 3: Cross multiply
    76,434x = 165,992 × 165,992
  4. Step 4: Simplify right side
    76,434x = 27,553,344,064
  5. Step 5: Solve for x
    x = 27,553,344,064/76,434
  6. Step 6: Final answer
    x = 360,485.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.