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Finding the Third Proportional to 57,729 and 126,120

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Solution

The third proportional to 57,729 and 126,120 is: 275,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729 : 126,120 = 126,120 : x
  2. Step 2: Convert to fraction form
    57,729/126,120 = 126,120/x
  3. Step 3: Cross multiply
    57,729x = 126,120 × 126,120
  4. Step 4: Simplify right side
    57,729x = 15,906,254,400
  5. Step 5: Solve for x
    x = 15,906,254,400/57,729
  6. Step 6: Final answer
    x = 275,533.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.