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Finding the Third Proportional to 57,289 and 125,863

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Solution

The third proportional to 57,289 and 125,863 is: 276,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,289 : 125,863 = 125,863 : x
  2. Step 2: Convert to fraction form
    57,289/125,863 = 125,863/x
  3. Step 3: Cross multiply
    57,289x = 125,863 × 125,863
  4. Step 4: Simplify right side
    57,289x = 15,841,494,769
  5. Step 5: Solve for x
    x = 15,841,494,769/57,289
  6. Step 6: Final answer
    x = 276,518.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.