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Finding the Third Proportional to 57,346 and 126,724

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Solution

The third proportional to 57,346 and 126,724 is: 280,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,346 : 126,724 = 126,724 : x
  2. Step 2: Convert to fraction form
    57,346/126,724 = 126,724/x
  3. Step 3: Cross multiply
    57,346x = 126,724 × 126,724
  4. Step 4: Simplify right side
    57,346x = 16,058,972,176
  5. Step 5: Solve for x
    x = 16,058,972,176/57,346
  6. Step 6: Final answer
    x = 280,036.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.