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Finding the Third Proportional to 86,794 and 130,191

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Solution

The third proportional to 86,794 and 130,191 is: 195,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,794 : 130,191 = 130,191 : x
  2. Step 2: Convert to fraction form
    86,794/130,191 = 130,191/x
  3. Step 3: Cross multiply
    86,794x = 130,191 × 130,191
  4. Step 4: Simplify right side
    86,794x = 16,949,696,481
  5. Step 5: Solve for x
    x = 16,949,696,481/86,794
  6. Step 6: Final answer
    x = 195,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.