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Finding the Third Proportional to 54,299 and 126,871

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Solution

The third proportional to 54,299 and 126,871 is: 296,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299 : 126,871 = 126,871 : x
  2. Step 2: Convert to fraction form
    54,299/126,871 = 126,871/x
  3. Step 3: Cross multiply
    54,299x = 126,871 × 126,871
  4. Step 4: Simplify right side
    54,299x = 16,096,250,641
  5. Step 5: Solve for x
    x = 16,096,250,641/54,299
  6. Step 6: Final answer
    x = 296,437.33

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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.