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Finding the Third Proportional to 122,562 and 185,463

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Solution

The third proportional to 122,562 and 185,463 is: 280,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,562 : 185,463 = 185,463 : x
  2. Step 2: Convert to fraction form
    122,562/185,463 = 185,463/x
  3. Step 3: Cross multiply
    122,562x = 185,463 × 185,463
  4. Step 4: Simplify right side
    122,562x = 34,396,524,369
  5. Step 5: Solve for x
    x = 34,396,524,369/122,562
  6. Step 6: Final answer
    x = 280,645.91

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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.