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Finding the Third Proportional to 124,055 and 269,115

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Solution

The third proportional to 124,055 and 269,115 is: 583,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,055 : 269,115 = 269,115 : x
  2. Step 2: Convert to fraction form
    124,055/269,115 = 269,115/x
  3. Step 3: Cross multiply
    124,055x = 269,115 × 269,115
  4. Step 4: Simplify right side
    124,055x = 72,422,883,225
  5. Step 5: Solve for x
    x = 72,422,883,225/124,055
  6. Step 6: Final answer
    x = 583,796.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.