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Finding the Third Proportional to 68,674 and 106,276

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Solution

The third proportional to 68,674 and 106,276 is: 164,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,674 : 106,276 = 106,276 : x
  2. Step 2: Convert to fraction form
    68,674/106,276 = 106,276/x
  3. Step 3: Cross multiply
    68,674x = 106,276 × 106,276
  4. Step 4: Simplify right side
    68,674x = 11,294,588,176
  5. Step 5: Solve for x
    x = 11,294,588,176/68,674
  6. Step 6: Final answer
    x = 164,466.73

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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.