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Finding the Third Proportional to 131,880 and 204,078

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Solution

The third proportional to 131,880 and 204,078 is: 315,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,880 : 204,078 = 204,078 : x
  2. Step 2: Convert to fraction form
    131,880/204,078 = 204,078/x
  3. Step 3: Cross multiply
    131,880x = 204,078 × 204,078
  4. Step 4: Simplify right side
    131,880x = 41,647,830,084
  5. Step 5: Solve for x
    x = 41,647,830,084/131,880
  6. Step 6: Final answer
    x = 315,800.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.