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Finding the Third Proportional to 39,462 and 86,208

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Solution

The third proportional to 39,462 and 86,208 is: 188,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462 : 86,208 = 86,208 : x
  2. Step 2: Convert to fraction form
    39,462/86,208 = 86,208/x
  3. Step 3: Cross multiply
    39,462x = 86,208 × 86,208
  4. Step 4: Simplify right side
    39,462x = 7,431,819,264
  5. Step 5: Solve for x
    x = 7,431,819,264/39,462
  6. Step 6: Final answer
    x = 188,328.50

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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.