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Finding the Third Proportional to 122,446 and 185,517

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Solution

The third proportional to 122,446 and 185,517 is: 281,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,446 : 185,517 = 185,517 : x
  2. Step 2: Convert to fraction form
    122,446/185,517 = 185,517/x
  3. Step 3: Cross multiply
    122,446x = 185,517 × 185,517
  4. Step 4: Simplify right side
    122,446x = 34,416,557,289
  5. Step 5: Solve for x
    x = 34,416,557,289/122,446
  6. Step 6: Final answer
    x = 281,075.39

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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.