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Finding the Third Proportional to 54,072 and 126,293

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Solution

The third proportional to 54,072 and 126,293 is: 294,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,072 : 126,293 = 126,293 : x
  2. Step 2: Convert to fraction form
    54,072/126,293 = 126,293/x
  3. Step 3: Cross multiply
    54,072x = 126,293 × 126,293
  4. Step 4: Simplify right side
    54,072x = 15,949,921,849
  5. Step 5: Solve for x
    x = 15,949,921,849/54,072
  6. Step 6: Final answer
    x = 294,975.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.