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Finding the Third Proportional to 68,512 and 106,026

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Solution

The third proportional to 68,512 and 106,026 is: 164,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512 : 106,026 = 106,026 : x
  2. Step 2: Convert to fraction form
    68,512/106,026 = 106,026/x
  3. Step 3: Cross multiply
    68,512x = 106,026 × 106,026
  4. Step 4: Simplify right side
    68,512x = 11,241,512,676
  5. Step 5: Solve for x
    x = 11,241,512,676/68,512
  6. Step 6: Final answer
    x = 164,080.93

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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.