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Finding the Third Proportional to 127,996 and 275,614

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Solution

The third proportional to 127,996 and 275,614 is: 593,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996 : 275,614 = 275,614 : x
  2. Step 2: Convert to fraction form
    127,996/275,614 = 275,614/x
  3. Step 3: Cross multiply
    127,996x = 275,614 × 275,614
  4. Step 4: Simplify right side
    127,996x = 75,963,076,996
  5. Step 5: Solve for x
    x = 75,963,076,996/127,996
  6. Step 6: Final answer
    x = 593,480.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.