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Finding the Third Proportional to 124,538 and 270,019

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Solution

The third proportional to 124,538 and 270,019 is: 585,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,538 : 270,019 = 270,019 : x
  2. Step 2: Convert to fraction form
    124,538/270,019 = 270,019/x
  3. Step 3: Cross multiply
    124,538x = 270,019 × 270,019
  4. Step 4: Simplify right side
    124,538x = 72,910,260,361
  5. Step 5: Solve for x
    x = 72,910,260,361/124,538
  6. Step 6: Final answer
    x = 585,445.89

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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.