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Finding the Third Proportional to 57,500 and 125,684

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Solution

The third proportional to 57,500 and 125,684 is: 274,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,500 : 125,684 = 125,684 : x
  2. Step 2: Convert to fraction form
    57,500/125,684 = 125,684/x
  3. Step 3: Cross multiply
    57,500x = 125,684 × 125,684
  4. Step 4: Simplify right side
    57,500x = 15,796,467,856
  5. Step 5: Solve for x
    x = 15,796,467,856/57,500
  6. Step 6: Final answer
    x = 274,721.18

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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.