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Finding the Third Proportional to 58,456 and 126,749

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Solution

The third proportional to 58,456 and 126,749 is: 274,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,456 : 126,749 = 126,749 : x
  2. Step 2: Convert to fraction form
    58,456/126,749 = 126,749/x
  3. Step 3: Cross multiply
    58,456x = 126,749 × 126,749
  4. Step 4: Simplify right side
    58,456x = 16,065,309,001
  5. Step 5: Solve for x
    x = 16,065,309,001/58,456
  6. Step 6: Final answer
    x = 274,827.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.