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Finding the Third Proportional to 103,692 and 217,825

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Solution

The third proportional to 103,692 and 217,825 is: 457,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 217,825 = 217,825 : x
  2. Step 2: Convert to fraction form
    103,692/217,825 = 217,825/x
  3. Step 3: Cross multiply
    103,692x = 217,825 × 217,825
  4. Step 4: Simplify right side
    103,692x = 47,447,730,625
  5. Step 5: Solve for x
    x = 47,447,730,625/103,692
  6. Step 6: Final answer
    x = 457,583.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.