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Finding the Third Proportional to 86,178.75 and 186,195

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Solution

The third proportional to 86,178.75 and 186,195 is: 402,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,178.75 : 186,195 = 186,195 : x
  2. Step 2: Convert to fraction form
    86,178.75/186,195 = 186,195/x
  3. Step 3: Cross multiply
    86,178.75x = 186,195 × 186,195
  4. Step 4: Simplify right side
    86,178.75x = 34,668,578,025
  5. Step 5: Solve for x
    x = 34,668,578,025/86,178.75
  6. Step 6: Final answer
    x = 402,286.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.