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Finding the Third Proportional to 86,394 and 135,234

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Solution

The third proportional to 86,394 and 135,234 is: 211,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,394 : 135,234 = 135,234 : x
  2. Step 2: Convert to fraction form
    86,394/135,234 = 135,234/x
  3. Step 3: Cross multiply
    86,394x = 135,234 × 135,234
  4. Step 4: Simplify right side
    86,394x = 18,288,234,756
  5. Step 5: Solve for x
    x = 18,288,234,756/86,394
  6. Step 6: Final answer
    x = 211,684.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.