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Finding the Third Proportional to 126,933.75 and 273,883.50

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Solution

The third proportional to 126,933.75 and 273,883.50 is: 590,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,933.75 : 273,883.50 = 273,883.50 : x
  2. Step 2: Convert to fraction form
    126,933.75/273,883.50 = 273,883.50/x
  3. Step 3: Cross multiply
    126,933.75x = 273,883.50 × 273,883.50
  4. Step 4: Simplify right side
    126,933.75x = 75,012,171,572.25
  5. Step 5: Solve for x
    x = 75,012,171,572.25/126,933.75
  6. Step 6: Final answer
    x = 590,955.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.