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Finding the Third Proportional to 62,399 and 84,675

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Solution

The third proportional to 62,399 and 84,675 is: 114,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,399 : 84,675 = 84,675 : x
  2. Step 2: Convert to fraction form
    62,399/84,675 = 84,675/x
  3. Step 3: Cross multiply
    62,399x = 84,675 × 84,675
  4. Step 4: Simplify right side
    62,399x = 7,169,855,625
  5. Step 5: Solve for x
    x = 7,169,855,625/62,399
  6. Step 6: Final answer
    x = 114,903.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.