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Finding the Third Proportional to 126,462 and 272,520

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Solution

The third proportional to 126,462 and 272,520 is: 587,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,462 : 272,520 = 272,520 : x
  2. Step 2: Convert to fraction form
    126,462/272,520 = 272,520/x
  3. Step 3: Cross multiply
    126,462x = 272,520 × 272,520
  4. Step 4: Simplify right side
    126,462x = 74,267,150,400
  5. Step 5: Solve for x
    x = 74,267,150,400/126,462
  6. Step 6: Final answer
    x = 587,268.51

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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.