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Finding the Third Proportional to 53,676 and 126,298

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Solution

The third proportional to 53,676 and 126,298 is: 297,175.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,676 : 126,298 = 126,298 : x
  2. Step 2: Convert to fraction form
    53,676/126,298 = 126,298/x
  3. Step 3: Cross multiply
    53,676x = 126,298 × 126,298
  4. Step 4: Simplify right side
    53,676x = 15,951,184,804
  5. Step 5: Solve for x
    x = 15,951,184,804/53,676
  6. Step 6: Final answer
    x = 297,175.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.