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Finding the Third Proportional to 126,896 and 271,360

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Solution

The third proportional to 126,896 and 271,360 is: 580,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,896 : 271,360 = 271,360 : x
  2. Step 2: Convert to fraction form
    126,896/271,360 = 271,360/x
  3. Step 3: Cross multiply
    126,896x = 271,360 × 271,360
  4. Step 4: Simplify right side
    126,896x = 73,636,249,600
  5. Step 5: Solve for x
    x = 73,636,249,600/126,896
  6. Step 6: Final answer
    x = 580,288.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.