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Finding the Third Proportional to 126,058.15 and 273,132

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Solution

The third proportional to 126,058.15 and 273,132 is: 591,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,058.15 : 273,132 = 273,132 : x
  2. Step 2: Convert to fraction form
    126,058.15/273,132 = 273,132/x
  3. Step 3: Cross multiply
    126,058.15x = 273,132 × 273,132
  4. Step 4: Simplify right side
    126,058.15x = 74,601,089,424
  5. Step 5: Solve for x
    x = 74,601,089,424/126,058.15
  6. Step 6: Final answer
    x = 591,799.03

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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.