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Finding the Third Proportional to 57,223 and 124,298

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Solution

The third proportional to 57,223 and 124,298 is: 269,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,223 : 124,298 = 124,298 : x
  2. Step 2: Convert to fraction form
    57,223/124,298 = 124,298/x
  3. Step 3: Cross multiply
    57,223x = 124,298 × 124,298
  4. Step 4: Simplify right side
    57,223x = 15,449,992,804
  5. Step 5: Solve for x
    x = 15,449,992,804/57,223
  6. Step 6: Final answer
    x = 269,996.20

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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.