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Finding the Third Proportional to 124,767 and 270,675

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Solution

The third proportional to 124,767 and 270,675 is: 587,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,767 : 270,675 = 270,675 : x
  2. Step 2: Convert to fraction form
    124,767/270,675 = 270,675/x
  3. Step 3: Cross multiply
    124,767x = 270,675 × 270,675
  4. Step 4: Simplify right side
    124,767x = 73,264,955,625
  5. Step 5: Solve for x
    x = 73,264,955,625/124,767
  6. Step 6: Final answer
    x = 587,214.21

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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.