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Finding the Third Proportional to 81,216 and 126,242

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Solution

The third proportional to 81,216 and 126,242 is: 196,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,216 : 126,242 = 126,242 : x
  2. Step 2: Convert to fraction form
    81,216/126,242 = 126,242/x
  3. Step 3: Cross multiply
    81,216x = 126,242 × 126,242
  4. Step 4: Simplify right side
    81,216x = 15,937,042,564
  5. Step 5: Solve for x
    x = 15,937,042,564/81,216
  6. Step 6: Final answer
    x = 196,230.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.