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Finding the Third Proportional to 43,346 and 68,015

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Solution

The third proportional to 43,346 and 68,015 is: 106,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 68,015 = 68,015 : x
  2. Step 2: Convert to fraction form
    43,346/68,015 = 68,015/x
  3. Step 3: Cross multiply
    43,346x = 68,015 × 68,015
  4. Step 4: Simplify right side
    43,346x = 4,626,040,225
  5. Step 5: Solve for x
    x = 4,626,040,225/43,346
  6. Step 6: Final answer
    x = 106,723.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.