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Finding the Third Proportional to 57,508.25 and 125,678

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Solution

The third proportional to 57,508.25 and 125,678 is: 274,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,508.25 : 125,678 = 125,678 : x
  2. Step 2: Convert to fraction form
    57,508.25/125,678 = 125,678/x
  3. Step 3: Cross multiply
    57,508.25x = 125,678 × 125,678
  4. Step 4: Simplify right side
    57,508.25x = 15,794,959,684
  5. Step 5: Solve for x
    x = 15,794,959,684/57,508.25
  6. Step 6: Final answer
    x = 274,655.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.