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Finding the Third Proportional to 44,505 and 68,888

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Solution

The third proportional to 44,505 and 68,888 is: 106,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,505 : 68,888 = 68,888 : x
  2. Step 2: Convert to fraction form
    44,505/68,888 = 68,888/x
  3. Step 3: Cross multiply
    44,505x = 68,888 × 68,888
  4. Step 4: Simplify right side
    44,505x = 4,745,556,544
  5. Step 5: Solve for x
    x = 4,745,556,544/44,505
  6. Step 6: Final answer
    x = 106,629.74

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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.