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Finding the Third Proportional to 57,385 and 124,299

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Solution

The third proportional to 57,385 and 124,299 is: 269,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385 : 124,299 = 124,299 : x
  2. Step 2: Convert to fraction form
    57,385/124,299 = 124,299/x
  3. Step 3: Cross multiply
    57,385x = 124,299 × 124,299
  4. Step 4: Simplify right side
    57,385x = 15,450,241,401
  5. Step 5: Solve for x
    x = 15,450,241,401/57,385
  6. Step 6: Final answer
    x = 269,238.33

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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.