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Finding the Third Proportional to 131,436 and 185,980

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Solution

The third proportional to 131,436 and 185,980 is: 263,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,436 : 185,980 = 185,980 : x
  2. Step 2: Convert to fraction form
    131,436/185,980 = 185,980/x
  3. Step 3: Cross multiply
    131,436x = 185,980 × 185,980
  4. Step 4: Simplify right side
    131,436x = 34,588,560,400
  5. Step 5: Solve for x
    x = 34,588,560,400/131,436
  6. Step 6: Final answer
    x = 263,158.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.