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Finding the Third Proportional to 131,512 and 186,086

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Solution

The third proportional to 131,512 and 186,086 is: 263,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512 : 186,086 = 186,086 : x
  2. Step 2: Convert to fraction form
    131,512/186,086 = 186,086/x
  3. Step 3: Cross multiply
    131,512x = 186,086 × 186,086
  4. Step 4: Simplify right side
    131,512x = 34,627,999,396
  5. Step 5: Solve for x
    x = 34,627,999,396/131,512
  6. Step 6: Final answer
    x = 263,306.77

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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.