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Finding the Third Proportional to 80,473 and 121,744

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Solution

The third proportional to 80,473 and 121,744 is: 184,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473 : 121,744 = 121,744 : x
  2. Step 2: Convert to fraction form
    80,473/121,744 = 121,744/x
  3. Step 3: Cross multiply
    80,473x = 121,744 × 121,744
  4. Step 4: Simplify right side
    80,473x = 14,821,601,536
  5. Step 5: Solve for x
    x = 14,821,601,536/80,473
  6. Step 6: Final answer
    x = 184,181.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.