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Finding the Third Proportional to 124,860 and 269,676

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Solution

The third proportional to 124,860 and 269,676 is: 582,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,860 : 269,676 = 269,676 : x
  2. Step 2: Convert to fraction form
    124,860/269,676 = 269,676/x
  3. Step 3: Cross multiply
    124,860x = 269,676 × 269,676
  4. Step 4: Simplify right side
    124,860x = 72,725,144,976
  5. Step 5: Solve for x
    x = 72,725,144,976/124,860
  6. Step 6: Final answer
    x = 582,453.51

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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.