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Finding the Third Proportional to 126,765 and 273,828

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Solution

The third proportional to 126,765 and 273,828 is: 591,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,765 : 273,828 = 273,828 : x
  2. Step 2: Convert to fraction form
    126,765/273,828 = 273,828/x
  3. Step 3: Cross multiply
    126,765x = 273,828 × 273,828
  4. Step 4: Simplify right side
    126,765x = 74,981,773,584
  5. Step 5: Solve for x
    x = 74,981,773,584/126,765
  6. Step 6: Final answer
    x = 591,502.18

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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.