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Finding the Third Proportional to 126,168 and 272,016

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Solution

The third proportional to 126,168 and 272,016 is: 586,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,168 : 272,016 = 272,016 : x
  2. Step 2: Convert to fraction form
    126,168/272,016 = 272,016/x
  3. Step 3: Cross multiply
    126,168x = 272,016 × 272,016
  4. Step 4: Simplify right side
    126,168x = 73,992,704,256
  5. Step 5: Solve for x
    x = 73,992,704,256/126,168
  6. Step 6: Final answer
    x = 586,461.74

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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.