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Finding the Third Proportional to 44,996 and 68,856

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Solution

The third proportional to 44,996 and 68,856 is: 105,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,996 : 68,856 = 68,856 : x
  2. Step 2: Convert to fraction form
    44,996/68,856 = 68,856/x
  3. Step 3: Cross multiply
    44,996x = 68,856 × 68,856
  4. Step 4: Simplify right side
    44,996x = 4,741,148,736
  5. Step 5: Solve for x
    x = 4,741,148,736/44,996
  6. Step 6: Final answer
    x = 105,368.23

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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.