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Finding the Third Proportional to 124,540 and 270,023

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Solution

The third proportional to 124,540 and 270,023 is: 585,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,540 : 270,023 = 270,023 : x
  2. Step 2: Convert to fraction form
    124,540/270,023 = 270,023/x
  3. Step 3: Cross multiply
    124,540x = 270,023 × 270,023
  4. Step 4: Simplify right side
    124,540x = 72,912,420,529
  5. Step 5: Solve for x
    x = 72,912,420,529/124,540
  6. Step 6: Final answer
    x = 585,453.83

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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.