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Finding the Third Proportional to 131,544 and 186,138

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Solution

The third proportional to 131,544 and 186,138 is: 263,389.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,544 : 186,138 = 186,138 : x
  2. Step 2: Convert to fraction form
    131,544/186,138 = 186,138/x
  3. Step 3: Cross multiply
    131,544x = 186,138 × 186,138
  4. Step 4: Simplify right side
    131,544x = 34,647,355,044
  5. Step 5: Solve for x
    x = 34,647,355,044/131,544
  6. Step 6: Final answer
    x = 263,389.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.