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Finding the Third Proportional to 86,620 and 186,134

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Solution

The third proportional to 86,620 and 186,134 is: 399,975.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,620 : 186,134 = 186,134 : x
  2. Step 2: Convert to fraction form
    86,620/186,134 = 186,134/x
  3. Step 3: Cross multiply
    86,620x = 186,134 × 186,134
  4. Step 4: Simplify right side
    86,620x = 34,645,865,956
  5. Step 5: Solve for x
    x = 34,645,865,956/86,620
  6. Step 6: Final answer
    x = 399,975.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.