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Finding the Third Proportional to 42,760 and 67,076.75

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Solution

The third proportional to 42,760 and 67,076.75 is: 105,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760 : 67,076.75 = 67,076.75 : x
  2. Step 2: Convert to fraction form
    42,760/67,076.75 = 67,076.75/x
  3. Step 3: Cross multiply
    42,760x = 67,076.75 × 67,076.75
  4. Step 4: Simplify right side
    42,760x = 4,499,290,390.56
  5. Step 5: Solve for x
    x = 4,499,290,390.56/42,760
  6. Step 6: Final answer
    x = 105,221.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.