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Finding the Third Proportional to 80,578 and 122,644

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Solution

The third proportional to 80,578 and 122,644 is: 186,670.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578 : 122,644 = 122,644 : x
  2. Step 2: Convert to fraction form
    80,578/122,644 = 122,644/x
  3. Step 3: Cross multiply
    80,578x = 122,644 × 122,644
  4. Step 4: Simplify right side
    80,578x = 15,041,550,736
  5. Step 5: Solve for x
    x = 15,041,550,736/80,578
  6. Step 6: Final answer
    x = 186,670.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.