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Finding the Third Proportional to 131,520 and 186,098

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Solution

The third proportional to 131,520 and 186,098 is: 263,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,520 : 186,098 = 186,098 : x
  2. Step 2: Convert to fraction form
    131,520/186,098 = 186,098/x
  3. Step 3: Cross multiply
    131,520x = 186,098 × 186,098
  4. Step 4: Simplify right side
    131,520x = 34,632,465,604
  5. Step 5: Solve for x
    x = 34,632,465,604/131,520
  6. Step 6: Final answer
    x = 263,324.71

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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.