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Finding the Third Proportional to 57,809 and 126,097

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Solution

The third proportional to 57,809 and 126,097 is: 275,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809 : 126,097 = 126,097 : x
  2. Step 2: Convert to fraction form
    57,809/126,097 = 126,097/x
  3. Step 3: Cross multiply
    57,809x = 126,097 × 126,097
  4. Step 4: Simplify right side
    57,809x = 15,900,453,409
  5. Step 5: Solve for x
    x = 15,900,453,409/57,809
  6. Step 6: Final answer
    x = 275,051.52

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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.