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Finding the Third Proportional to 126,868 and 273,224

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Solution

The third proportional to 126,868 and 273,224 is: 588,417.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,868 : 273,224 = 273,224 : x
  2. Step 2: Convert to fraction form
    126,868/273,224 = 273,224/x
  3. Step 3: Cross multiply
    126,868x = 273,224 × 273,224
  4. Step 4: Simplify right side
    126,868x = 74,651,354,176
  5. Step 5: Solve for x
    x = 74,651,354,176/126,868
  6. Step 6: Final answer
    x = 588,417.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.