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Finding the Third Proportional to 131,212 and 271,759

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Solution

The third proportional to 131,212 and 271,759 is: 562,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,212 : 271,759 = 271,759 : x
  2. Step 2: Convert to fraction form
    131,212/271,759 = 271,759/x
  3. Step 3: Cross multiply
    131,212x = 271,759 × 271,759
  4. Step 4: Simplify right side
    131,212x = 73,852,954,081
  5. Step 5: Solve for x
    x = 73,852,954,081/131,212
  6. Step 6: Final answer
    x = 562,852.13

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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.