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Finding the Third Proportional to 126,749.25 and 275,395.50

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Solution

The third proportional to 126,749.25 and 275,395.50 is: 598,367.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,749.25 : 275,395.50 = 275,395.50 : x
  2. Step 2: Convert to fraction form
    126,749.25/275,395.50 = 275,395.50/x
  3. Step 3: Cross multiply
    126,749.25x = 275,395.50 × 275,395.50
  4. Step 4: Simplify right side
    126,749.25x = 75,842,681,420.25
  5. Step 5: Solve for x
    x = 75,842,681,420.25/126,749.25
  6. Step 6: Final answer
    x = 598,367.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.