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Finding the Third Proportional to 56,744 and 125,008

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Solution

The third proportional to 56,744 and 125,008 is: 275,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744 : 125,008 = 125,008 : x
  2. Step 2: Convert to fraction form
    56,744/125,008 = 125,008/x
  3. Step 3: Cross multiply
    56,744x = 125,008 × 125,008
  4. Step 4: Simplify right side
    56,744x = 15,627,000,064
  5. Step 5: Solve for x
    x = 15,627,000,064/56,744
  6. Step 6: Final answer
    x = 275,394.76

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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.