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Finding the Third Proportional to 131,212 and 271,756

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Solution

The third proportional to 131,212 and 271,756 is: 562,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,212 : 271,756 = 271,756 : x
  2. Step 2: Convert to fraction form
    131,212/271,756 = 271,756/x
  3. Step 3: Cross multiply
    131,212x = 271,756 × 271,756
  4. Step 4: Simplify right side
    131,212x = 73,851,323,536
  5. Step 5: Solve for x
    x = 73,851,323,536/131,212
  6. Step 6: Final answer
    x = 562,839.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.