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Finding the Third Proportional to 43,945 and 68,102

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Solution

The third proportional to 43,945 and 68,102 is: 105,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,945 : 68,102 = 68,102 : x
  2. Step 2: Convert to fraction form
    43,945/68,102 = 68,102/x
  3. Step 3: Cross multiply
    43,945x = 68,102 × 68,102
  4. Step 4: Simplify right side
    43,945x = 4,637,882,404
  5. Step 5: Solve for x
    x = 4,637,882,404/43,945
  6. Step 6: Final answer
    x = 105,538.34

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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.