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Finding the Third Proportional to 40,034 and 81,780

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Solution

The third proportional to 40,034 and 81,780 is: 167,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,034 : 81,780 = 81,780 : x
  2. Step 2: Convert to fraction form
    40,034/81,780 = 81,780/x
  3. Step 3: Cross multiply
    40,034x = 81,780 × 81,780
  4. Step 4: Simplify right side
    40,034x = 6,687,968,400
  5. Step 5: Solve for x
    x = 6,687,968,400/40,034
  6. Step 6: Final answer
    x = 167,057.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.