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Finding the Third Proportional to 43,144 and 88,379

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Solution

The third proportional to 43,144 and 88,379 is: 181,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,144 : 88,379 = 88,379 : x
  2. Step 2: Convert to fraction form
    43,144/88,379 = 88,379/x
  3. Step 3: Cross multiply
    43,144x = 88,379 × 88,379
  4. Step 4: Simplify right side
    43,144x = 7,810,847,641
  5. Step 5: Solve for x
    x = 7,810,847,641/43,144
  6. Step 6: Final answer
    x = 181,041.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.