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Finding the Third Proportional to 126,392 and 273,052

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Solution

The third proportional to 126,392 and 273,052 is: 589,890.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,392 : 273,052 = 273,052 : x
  2. Step 2: Convert to fraction form
    126,392/273,052 = 273,052/x
  3. Step 3: Cross multiply
    126,392x = 273,052 × 273,052
  4. Step 4: Simplify right side
    126,392x = 74,557,394,704
  5. Step 5: Solve for x
    x = 74,557,394,704/126,392
  6. Step 6: Final answer
    x = 589,890.14

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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.