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Finding the Third Proportional to 58,744.50 and 125,799

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Solution

The third proportional to 58,744.50 and 125,799 is: 269,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,744.50 : 125,799 = 125,799 : x
  2. Step 2: Convert to fraction form
    58,744.50/125,799 = 125,799/x
  3. Step 3: Cross multiply
    58,744.50x = 125,799 × 125,799
  4. Step 4: Simplify right side
    58,744.50x = 15,825,388,401
  5. Step 5: Solve for x
    x = 15,825,388,401/58,744.50
  6. Step 6: Final answer
    x = 269,393.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.