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Finding the Third Proportional to 126,231 and 272,144

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Solution

The third proportional to 126,231 and 272,144 is: 586,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,231 : 272,144 = 272,144 : x
  2. Step 2: Convert to fraction form
    126,231/272,144 = 272,144/x
  3. Step 3: Cross multiply
    126,231x = 272,144 × 272,144
  4. Step 4: Simplify right side
    126,231x = 74,062,356,736
  5. Step 5: Solve for x
    x = 74,062,356,736/126,231
  6. Step 6: Final answer
    x = 586,720.83

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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.