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Finding the Third Proportional to 57,513 and 125,483

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Solution

The third proportional to 57,513 and 125,483 is: 273,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513 : 125,483 = 125,483 : x
  2. Step 2: Convert to fraction form
    57,513/125,483 = 125,483/x
  3. Step 3: Cross multiply
    57,513x = 125,483 × 125,483
  4. Step 4: Simplify right side
    57,513x = 15,745,983,289
  5. Step 5: Solve for x
    x = 15,745,983,289/57,513
  6. Step 6: Final answer
    x = 273,781.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.