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Finding the Third Proportional to 42,811.88 and 68,180.63

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Solution

The third proportional to 42,811.88 and 68,180.63 is: 108,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,811.88 : 68,180.63 = 68,180.63 : x
  2. Step 2: Convert to fraction form
    42,811.88/68,180.63 = 68,180.63/x
  3. Step 3: Cross multiply
    42,811.88x = 68,180.63 × 68,180.63
  4. Step 4: Simplify right side
    42,811.88x = 4,648,597,625.39
  5. Step 5: Solve for x
    x = 4,648,597,625.39/42,811.88
  6. Step 6: Final answer
    x = 108,581.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.