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Finding the Third Proportional to 42,030 and 65,076.75

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Solution

The third proportional to 42,030 and 65,076.75 is: 100,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,030 : 65,076.75 = 65,076.75 : x
  2. Step 2: Convert to fraction form
    42,030/65,076.75 = 65,076.75/x
  3. Step 3: Cross multiply
    42,030x = 65,076.75 × 65,076.75
  4. Step 4: Simplify right side
    42,030x = 4,234,983,390.56
  5. Step 5: Solve for x
    x = 4,234,983,390.56/42,030
  6. Step 6: Final answer
    x = 100,760.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.