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Finding the Third Proportional to 44,912 and 68,732

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Solution

The third proportional to 44,912 and 68,732 is: 105,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,912 : 68,732 = 68,732 : x
  2. Step 2: Convert to fraction form
    44,912/68,732 = 68,732/x
  3. Step 3: Cross multiply
    44,912x = 68,732 × 68,732
  4. Step 4: Simplify right side
    44,912x = 4,724,087,824
  5. Step 5: Solve for x
    x = 4,724,087,824/44,912
  6. Step 6: Final answer
    x = 105,185.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.