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Finding the Third Proportional to 86,516 and 185,966

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Solution

The third proportional to 86,516 and 185,966 is: 399,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,516 : 185,966 = 185,966 : x
  2. Step 2: Convert to fraction form
    86,516/185,966 = 185,966/x
  3. Step 3: Cross multiply
    86,516x = 185,966 × 185,966
  4. Step 4: Simplify right side
    86,516x = 34,583,353,156
  5. Step 5: Solve for x
    x = 34,583,353,156/86,516
  6. Step 6: Final answer
    x = 399,733.61

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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.