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Finding the Third Proportional to 80,391 and 123,369

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Solution

The third proportional to 80,391 and 123,369 is: 189,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,391 : 123,369 = 123,369 : x
  2. Step 2: Convert to fraction form
    80,391/123,369 = 123,369/x
  3. Step 3: Cross multiply
    80,391x = 123,369 × 123,369
  4. Step 4: Simplify right side
    80,391x = 15,219,910,161
  5. Step 5: Solve for x
    x = 15,219,910,161/80,391
  6. Step 6: Final answer
    x = 189,323.56

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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.