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Finding the Third Proportional to 58,728 and 126,933

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Solution

The third proportional to 58,728 and 126,933 is: 274,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,728 : 126,933 = 126,933 : x
  2. Step 2: Convert to fraction form
    58,728/126,933 = 126,933/x
  3. Step 3: Cross multiply
    58,728x = 126,933 × 126,933
  4. Step 4: Simplify right side
    58,728x = 16,111,986,489
  5. Step 5: Solve for x
    x = 16,111,986,489/58,728
  6. Step 6: Final answer
    x = 274,349.31

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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.