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Finding the Third Proportional to 45,096 and 60,839.50

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Solution

The third proportional to 45,096 and 60,839.50 is: 82,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096 : 60,839.50 = 60,839.50 : x
  2. Step 2: Convert to fraction form
    45,096/60,839.50 = 60,839.50/x
  3. Step 3: Cross multiply
    45,096x = 60,839.50 × 60,839.50
  4. Step 4: Simplify right side
    45,096x = 3,701,444,760.25
  5. Step 5: Solve for x
    x = 3,701,444,760.25/45,096
  6. Step 6: Final answer
    x = 82,079.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.