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Finding the Third Proportional to 80,293 and 120,238

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Solution

The third proportional to 80,293 and 120,238 is: 180,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,293 : 120,238 = 120,238 : x
  2. Step 2: Convert to fraction form
    80,293/120,238 = 120,238/x
  3. Step 3: Cross multiply
    80,293x = 120,238 × 120,238
  4. Step 4: Simplify right side
    80,293x = 14,457,176,644
  5. Step 5: Solve for x
    x = 14,457,176,644/80,293
  6. Step 6: Final answer
    x = 180,055.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.