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Finding the Third Proportional to 59,649.75 and 126,204.75

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Solution

The third proportional to 59,649.75 and 126,204.75 is: 267,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,649.75 : 126,204.75 = 126,204.75 : x
  2. Step 2: Convert to fraction form
    59,649.75/126,204.75 = 126,204.75/x
  3. Step 3: Cross multiply
    59,649.75x = 126,204.75 × 126,204.75
  4. Step 4: Simplify right side
    59,649.75x = 15,927,638,922.56
  5. Step 5: Solve for x
    x = 15,927,638,922.56/59,649.75
  6. Step 6: Final answer
    x = 267,019.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.