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Finding the Third Proportional to 57,959 and 123,573

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Solution

The third proportional to 57,959 and 123,573 is: 263,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,959 : 123,573 = 123,573 : x
  2. Step 2: Convert to fraction form
    57,959/123,573 = 123,573/x
  3. Step 3: Cross multiply
    57,959x = 123,573 × 123,573
  4. Step 4: Simplify right side
    57,959x = 15,270,286,329
  5. Step 5: Solve for x
    x = 15,270,286,329/57,959
  6. Step 6: Final answer
    x = 263,467.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.