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Finding the Third Proportional to 43,965 and 68,178.38

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Solution

The third proportional to 43,965 and 68,178.38 is: 105,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,965 : 68,178.38 = 68,178.38 : x
  2. Step 2: Convert to fraction form
    43,965/68,178.38 = 68,178.38/x
  3. Step 3: Cross multiply
    43,965x = 68,178.38 × 68,178.38
  4. Step 4: Simplify right side
    43,965x = 4,648,290,817.64
  5. Step 5: Solve for x
    x = 4,648,290,817.64/43,965
  6. Step 6: Final answer
    x = 105,727.07

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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.