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Finding the Third Proportional to 124,678 and 275,606

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Solution

The third proportional to 124,678 and 275,606 is: 609,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,678 : 275,606 = 275,606 : x
  2. Step 2: Convert to fraction form
    124,678/275,606 = 275,606/x
  3. Step 3: Cross multiply
    124,678x = 275,606 × 275,606
  4. Step 4: Simplify right side
    124,678x = 75,958,667,236
  5. Step 5: Solve for x
    x = 75,958,667,236/124,678
  6. Step 6: Final answer
    x = 609,238.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.