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Finding the Third Proportional to 131,532 and 186,116

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Solution

The third proportional to 131,532 and 186,116 is: 263,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,532 : 186,116 = 186,116 : x
  2. Step 2: Convert to fraction form
    131,532/186,116 = 186,116/x
  3. Step 3: Cross multiply
    131,532x = 186,116 × 186,116
  4. Step 4: Simplify right side
    131,532x = 34,639,165,456
  5. Step 5: Solve for x
    x = 34,639,165,456/131,532
  6. Step 6: Final answer
    x = 263,351.62

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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.