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Finding the Third Proportional to 45,186.75 and 67,353.75

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Solution

The third proportional to 45,186.75 and 67,353.75 is: 100,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,186.75 : 67,353.75 = 67,353.75 : x
  2. Step 2: Convert to fraction form
    45,186.75/67,353.75 = 67,353.75/x
  3. Step 3: Cross multiply
    45,186.75x = 67,353.75 × 67,353.75
  4. Step 4: Simplify right side
    45,186.75x = 4,536,527,639.06
  5. Step 5: Solve for x
    x = 4,536,527,639.06/45,186.75
  6. Step 6: Final answer
    x = 100,395.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.