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Finding the Third Proportional to 124,976 and 269,936

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Solution

The third proportional to 124,976 and 269,936 is: 583,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,976 : 269,936 = 269,936 : x
  2. Step 2: Convert to fraction form
    124,976/269,936 = 269,936/x
  3. Step 3: Cross multiply
    124,976x = 269,936 × 269,936
  4. Step 4: Simplify right side
    124,976x = 72,865,444,096
  5. Step 5: Solve for x
    x = 72,865,444,096/124,976
  6. Step 6: Final answer
    x = 583,035.50

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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.