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Finding the Third Proportional to 68,026 and 105,738

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Solution

The third proportional to 68,026 and 105,738 is: 164,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,026 : 105,738 = 105,738 : x
  2. Step 2: Convert to fraction form
    68,026/105,738 = 105,738/x
  3. Step 3: Cross multiply
    68,026x = 105,738 × 105,738
  4. Step 4: Simplify right side
    68,026x = 11,180,524,644
  5. Step 5: Solve for x
    x = 11,180,524,644/68,026
  6. Step 6: Final answer
    x = 164,356.64

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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.