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Finding the Third Proportional to 126,076.50 and 273,165.75

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Solution

The third proportional to 126,076.50 and 273,165.75 is: 591,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076.50 : 273,165.75 = 273,165.75 : x
  2. Step 2: Convert to fraction form
    126,076.50/273,165.75 = 273,165.75/x
  3. Step 3: Cross multiply
    126,076.50x = 273,165.75 × 273,165.75
  4. Step 4: Simplify right side
    126,076.50x = 74,619,526,973.06
  5. Step 5: Solve for x
    x = 74,619,526,973.06/126,076.50
  6. Step 6: Final answer
    x = 591,859.13

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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.