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Finding the Third Proportional to 86,706 and 189,288

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Solution

The third proportional to 86,706 and 189,288 is: 413,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706 : 189,288 = 189,288 : x
  2. Step 2: Convert to fraction form
    86,706/189,288 = 189,288/x
  3. Step 3: Cross multiply
    86,706x = 189,288 × 189,288
  4. Step 4: Simplify right side
    86,706x = 35,829,946,944
  5. Step 5: Solve for x
    x = 35,829,946,944/86,706
  6. Step 6: Final answer
    x = 413,234.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.