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Finding the Third Proportional to 57,400 and 126,160

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Solution

The third proportional to 57,400 and 126,160 is: 277,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,400 : 126,160 = 126,160 : x
  2. Step 2: Convert to fraction form
    57,400/126,160 = 126,160/x
  3. Step 3: Cross multiply
    57,400x = 126,160 × 126,160
  4. Step 4: Simplify right side
    57,400x = 15,916,345,600
  5. Step 5: Solve for x
    x = 15,916,345,600/57,400
  6. Step 6: Final answer
    x = 277,288.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.