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Finding the Third Proportional to 126,316 and 271,736

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Solution

The third proportional to 126,316 and 271,736 is: 584,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,316 : 271,736 = 271,736 : x
  2. Step 2: Convert to fraction form
    126,316/271,736 = 271,736/x
  3. Step 3: Cross multiply
    126,316x = 271,736 × 271,736
  4. Step 4: Simplify right side
    126,316x = 73,840,453,696
  5. Step 5: Solve for x
    x = 73,840,453,696/126,316
  6. Step 6: Final answer
    x = 584,569.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.