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Finding the Third Proportional to 45,181 and 60,379

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Solution

The third proportional to 45,181 and 60,379 is: 80,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,181 : 60,379 = 60,379 : x
  2. Step 2: Convert to fraction form
    45,181/60,379 = 60,379/x
  3. Step 3: Cross multiply
    45,181x = 60,379 × 60,379
  4. Step 4: Simplify right side
    45,181x = 3,645,623,641
  5. Step 5: Solve for x
    x = 3,645,623,641/45,181
  6. Step 6: Final answer
    x = 80,689.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.