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Finding the Third Proportional to 68,676 and 106,281

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Solution

The third proportional to 68,676 and 106,281 is: 164,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676 : 106,281 = 106,281 : x
  2. Step 2: Convert to fraction form
    68,676/106,281 = 106,281/x
  3. Step 3: Cross multiply
    68,676x = 106,281 × 106,281
  4. Step 4: Simplify right side
    68,676x = 11,295,650,961
  5. Step 5: Solve for x
    x = 11,295,650,961/68,676
  6. Step 6: Final answer
    x = 164,477.42

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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.