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Finding the Third Proportional to 80,780 and 123,992

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Solution

The third proportional to 80,780 and 123,992 is: 190,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,780 : 123,992 = 123,992 : x
  2. Step 2: Convert to fraction form
    80,780/123,992 = 123,992/x
  3. Step 3: Cross multiply
    80,780x = 123,992 × 123,992
  4. Step 4: Simplify right side
    80,780x = 15,374,016,064
  5. Step 5: Solve for x
    x = 15,374,016,064/80,780
  6. Step 6: Final answer
    x = 190,319.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.