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Finding the Third Proportional to 56,791 and 125,003

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Solution

The third proportional to 56,791 and 125,003 is: 275,144.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,791 : 125,003 = 125,003 : x
  2. Step 2: Convert to fraction form
    56,791/125,003 = 125,003/x
  3. Step 3: Cross multiply
    56,791x = 125,003 × 125,003
  4. Step 4: Simplify right side
    56,791x = 15,625,750,009
  5. Step 5: Solve for x
    x = 15,625,750,009/56,791
  6. Step 6: Final answer
    x = 275,144.83

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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.