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Finding the Third Proportional to 126,712 and 273,512

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Solution

The third proportional to 126,712 and 273,512 is: 590,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,712 : 273,512 = 273,512 : x
  2. Step 2: Convert to fraction form
    126,712/273,512 = 273,512/x
  3. Step 3: Cross multiply
    126,712x = 273,512 × 273,512
  4. Step 4: Simplify right side
    126,712x = 74,808,814,144
  5. Step 5: Solve for x
    x = 74,808,814,144/126,712
  6. Step 6: Final answer
    x = 590,384.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.