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Finding the Third Proportional to 124,757.50 and 270,839

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Solution

The third proportional to 124,757.50 and 270,839 is: 587,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,757.50 : 270,839 = 270,839 : x
  2. Step 2: Convert to fraction form
    124,757.50/270,839 = 270,839/x
  3. Step 3: Cross multiply
    124,757.50x = 270,839 × 270,839
  4. Step 4: Simplify right side
    124,757.50x = 73,353,763,921
  5. Step 5: Solve for x
    x = 73,353,763,921/124,757.50
  6. Step 6: Final answer
    x = 587,970.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.