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Finding the Third Proportional to 68,874 and 106,425

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Solution

The third proportional to 68,874 and 106,425 is: 164,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,874 : 106,425 = 106,425 : x
  2. Step 2: Convert to fraction form
    68,874/106,425 = 106,425/x
  3. Step 3: Cross multiply
    68,874x = 106,425 × 106,425
  4. Step 4: Simplify right side
    68,874x = 11,326,280,625
  5. Step 5: Solve for x
    x = 11,326,280,625/68,874
  6. Step 6: Final answer
    x = 164,449.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.